Author: Mary Bush
Publisher: Open Road Media
ISBN: 1504069730
Category : Fiction
Languages : en
Pages : 337
Book Description
Lying to get a job places a New York woman in the path of a deranged killer in this psychological thriller by the author of The Secrets We Bury. Forced to give up her career as a dentist, and still unemployed a year later, Valentina Knight has finally run out of options. With foreclosure looming, she acts in desperation, lying to get a position as an assistant to the county medical examiner. Val’s relieved. She won’t be homeless. But she didn’t count on the lie trapping her in a dangerous game with a killer . . . Val quickly becomes involved in the case of Francine Donohue, who disappeared from her neighborhood and is discovered dead six months later. The bizarre circumstances surrounding the murder are not the first of their kind. With the evidence pointing to a serial killer, and a calling card Val understands, she quickly gets sucked into the case. As Val is pulled in further, the situation takes a darker turn. Someone is aware of the lie she told. Someone who is prepared to kill . . . This fast-paced crime thriller will appeal to fans of authors like Fiona Barton, Teresa Driscoll, and Alice Feeney.
A Simple Lie
Author: Mary Bush
Publisher: Open Road Media
ISBN: 1504069730
Category : Fiction
Languages : en
Pages : 337
Book Description
Lying to get a job places a New York woman in the path of a deranged killer in this psychological thriller by the author of The Secrets We Bury. Forced to give up her career as a dentist, and still unemployed a year later, Valentina Knight has finally run out of options. With foreclosure looming, she acts in desperation, lying to get a position as an assistant to the county medical examiner. Val’s relieved. She won’t be homeless. But she didn’t count on the lie trapping her in a dangerous game with a killer . . . Val quickly becomes involved in the case of Francine Donohue, who disappeared from her neighborhood and is discovered dead six months later. The bizarre circumstances surrounding the murder are not the first of their kind. With the evidence pointing to a serial killer, and a calling card Val understands, she quickly gets sucked into the case. As Val is pulled in further, the situation takes a darker turn. Someone is aware of the lie she told. Someone who is prepared to kill . . . This fast-paced crime thriller will appeal to fans of authors like Fiona Barton, Teresa Driscoll, and Alice Feeney.
Publisher: Open Road Media
ISBN: 1504069730
Category : Fiction
Languages : en
Pages : 337
Book Description
Lying to get a job places a New York woman in the path of a deranged killer in this psychological thriller by the author of The Secrets We Bury. Forced to give up her career as a dentist, and still unemployed a year later, Valentina Knight has finally run out of options. With foreclosure looming, she acts in desperation, lying to get a position as an assistant to the county medical examiner. Val’s relieved. She won’t be homeless. But she didn’t count on the lie trapping her in a dangerous game with a killer . . . Val quickly becomes involved in the case of Francine Donohue, who disappeared from her neighborhood and is discovered dead six months later. The bizarre circumstances surrounding the murder are not the first of their kind. With the evidence pointing to a serial killer, and a calling card Val understands, she quickly gets sucked into the case. As Val is pulled in further, the situation takes a darker turn. Someone is aware of the lie she told. Someone who is prepared to kill . . . This fast-paced crime thriller will appeal to fans of authors like Fiona Barton, Teresa Driscoll, and Alice Feeney.
Semi-Simple Lie Algebras and Their Representations
Author: Robert N. Cahn
Publisher: Courier Corporation
ISBN: 0486150313
Category : Mathematics
Languages : en
Pages : 180
Book Description
Designed to acquaint students of particle physiME already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topiME include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. 1984 edition.
Publisher: Courier Corporation
ISBN: 0486150313
Category : Mathematics
Languages : en
Pages : 180
Book Description
Designed to acquaint students of particle physiME already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topiME include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. 1984 edition.
Non-Spherical Principal Series Representations of a Semisimple Lie Group
Author: Alfred Magnus
Publisher: American Mathematical Soc.
ISBN: 0821822160
Category : Mathematics
Languages : en
Pages : 62
Book Description
Non-spherical principal series representations of a real semisimple Lie group are studied. These are representations, induced by a one-dimensional representation of a minimal parabolic subgroup, which have a one-dimensional subspace left stable by a maximal compact subgroup of the original group G. Necessary and sufficient conditions for such a representation to be irreducible, or to be cyclic, are found, in terms of parameters determined by certain rank one subgroups of G. A sufficient condition for such a representation to be unitary is found, and the condition is shown to be necessary in the rank one case.
Publisher: American Mathematical Soc.
ISBN: 0821822160
Category : Mathematics
Languages : en
Pages : 62
Book Description
Non-spherical principal series representations of a real semisimple Lie group are studied. These are representations, induced by a one-dimensional representation of a minimal parabolic subgroup, which have a one-dimensional subspace left stable by a maximal compact subgroup of the original group G. Necessary and sufficient conditions for such a representation to be irreducible, or to be cyclic, are found, in terms of parameters determined by certain rank one subgroups of G. A sufficient condition for such a representation to be unitary is found, and the condition is shown to be necessary in the rank one case.
Lie Groups, Lie Algebras, and Representations
Author: Brian Hall
Publisher: Springer
ISBN: 3319134671
Category : Mathematics
Languages : en
Pages : 452
Book Description
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette
Publisher: Springer
ISBN: 3319134671
Category : Mathematics
Languages : en
Pages : 452
Book Description
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette
The Secrets We Bury
Author: Mary Bush
Publisher: Open Road Media
ISBN: 1504069749
Category : Fiction
Languages : en
Pages : 335
Book Description
In this gritty crime thriller, a disturbing double murder in Upstate New York leads a detective through a maze of secrets, lies, and buried trauma. When a young mother and her son are found dead on a church altar, investigator Valentina Knight is called to the scene. What Val finds is shocking. The mother, Gabrielle, is dressed in a white satin gown, with tree branches duct-taped to her hands, and a piece of tape across her lips. And what happened to the boy is unspeakable. Initially, the evidence suggests a murder-suicide, but Val isn’t convinced. As she digs further into Gabrielle’s life, it becomes clear that she was trying to hide from her past. Soon Val realizes that everything comes down to one disturbing question: What really happened on the day Gabrielle’s twin siblings drowned in the family pool?
Publisher: Open Road Media
ISBN: 1504069749
Category : Fiction
Languages : en
Pages : 335
Book Description
In this gritty crime thriller, a disturbing double murder in Upstate New York leads a detective through a maze of secrets, lies, and buried trauma. When a young mother and her son are found dead on a church altar, investigator Valentina Knight is called to the scene. What Val finds is shocking. The mother, Gabrielle, is dressed in a white satin gown, with tree branches duct-taped to her hands, and a piece of tape across her lips. And what happened to the boy is unspeakable. Initially, the evidence suggests a murder-suicide, but Val isn’t convinced. As she digs further into Gabrielle’s life, it becomes clear that she was trying to hide from her past. Soon Val realizes that everything comes down to one disturbing question: What really happened on the day Gabrielle’s twin siblings drowned in the family pool?
Simple Groups of Lie Type
Author: Roger W. Carter
Publisher: John Wiley & Sons
ISBN: 9780471506836
Category : Mathematics
Languages : en
Pages : 350
Book Description
Now available in paperback--the standard introduction to the theory of simple groups of Lie type. In 1955, Chevalley showed how to construct analogues of the complex simple Lie groups over arbitrary fields. The present work presents the basic results in the structure theory of Chevalley groups and their twisted analogues. Carter looks at groups of automorphisms of Lie algebras, makes good use of Weyl group (also discussing Lie groups over finite fields), and develops the theory of Chevalley and Steinberg groups in the general context of groups with a (B,N)-pair. This new edition contains a corrected proof of the simplicity of twisted groups, a completed list of sporadic simple groups in the final chapter and a few smaller amendments; otherwise, this work remains the classic piece of exposition it was when it first appeared in 1971.
Publisher: John Wiley & Sons
ISBN: 9780471506836
Category : Mathematics
Languages : en
Pages : 350
Book Description
Now available in paperback--the standard introduction to the theory of simple groups of Lie type. In 1955, Chevalley showed how to construct analogues of the complex simple Lie groups over arbitrary fields. The present work presents the basic results in the structure theory of Chevalley groups and their twisted analogues. Carter looks at groups of automorphisms of Lie algebras, makes good use of Weyl group (also discussing Lie groups over finite fields), and develops the theory of Chevalley and Steinberg groups in the general context of groups with a (B,N)-pair. This new edition contains a corrected proof of the simplicity of twisted groups, a completed list of sporadic simple groups in the final chapter and a few smaller amendments; otherwise, this work remains the classic piece of exposition it was when it first appeared in 1971.
Gradings on Simple Lie Algebras
Author: Alberto Elduque
Publisher: American Mathematical Soc.
ISBN: 0821898469
Category : Mathematics
Languages : en
Pages : 355
Book Description
This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed fields of characteristic not equal to 2 as well as on some non-classical simple Lie algebras in positive characteristic. Other important algebras also enter the stage: matrix algebras, the octonions, and the Albert algebra. Most of the presented results are recent and have not yet appeared in book form.
Publisher: American Mathematical Soc.
ISBN: 0821898469
Category : Mathematics
Languages : en
Pages : 355
Book Description
This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed fields of characteristic not equal to 2 as well as on some non-classical simple Lie algebras in positive characteristic. Other important algebras also enter the stage: matrix algebras, the octonions, and the Albert algebra. Most of the presented results are recent and have not yet appeared in book form.
The Kindest Lie
Author: Nancy Johnson
Publisher: HarperCollins
ISBN: 0063005654
Category : Fiction
Languages : en
Pages : 371
Book Description
Recommended by O Magazine * GMA * Elle * Marie Claire * Good Housekeeping * NBC News * Shondaland * Chicago Tribune * Woman's Day * Refinery 29 * Bustle * The Millions * New York Post * Parade * Hello! Magazine * PopSugar * and more! “The Kindest Lie is a deep dive into how we define family, what it means to be a mother, and what it means to grow up Black...beautifully crafted.” —JODI PICOULT "A fantastic story...well-written, timely, and oh-so-memorable."—Good Morning America “The Kindest Lie is a layered, complex exploration of race and class." —The Washington Post Every family has its secrets... It’s 2008, and the inauguration of President Barack Obama ushers in a new kind of hope. In Chicago, Ruth Tuttle, an Ivy-League educated Black engineer, is married to a kind and successful man. He’s eager to start a family, but Ruth is uncertain. She has never gotten over the baby she gave birth to—and was forced to leave behind—when she was a teenager. She had promised her family she’d never look back, but Ruth knows that to move forward, she must make peace with the past. Returning home, Ruth discovers the Indiana factory town of her youth is plagued by unemployment, racism, and despair. As she begins digging into the past, she unexpectedly befriends Midnight, a young white boy who is also adrift and looking for connection. Just as Ruth is about to uncover a burning secret her family desperately wants to keep hidden, a heart-stopping incident strains the town’s already searing racial tensions, sending Ruth and Midnight on a collision course that could upend both their lives. Powerful and unforgettable, The Kindest Lie is the story of an American family and reveals the secrets we keep and the promises we make to protect one another.
Publisher: HarperCollins
ISBN: 0063005654
Category : Fiction
Languages : en
Pages : 371
Book Description
Recommended by O Magazine * GMA * Elle * Marie Claire * Good Housekeeping * NBC News * Shondaland * Chicago Tribune * Woman's Day * Refinery 29 * Bustle * The Millions * New York Post * Parade * Hello! Magazine * PopSugar * and more! “The Kindest Lie is a deep dive into how we define family, what it means to be a mother, and what it means to grow up Black...beautifully crafted.” —JODI PICOULT "A fantastic story...well-written, timely, and oh-so-memorable."—Good Morning America “The Kindest Lie is a layered, complex exploration of race and class." —The Washington Post Every family has its secrets... It’s 2008, and the inauguration of President Barack Obama ushers in a new kind of hope. In Chicago, Ruth Tuttle, an Ivy-League educated Black engineer, is married to a kind and successful man. He’s eager to start a family, but Ruth is uncertain. She has never gotten over the baby she gave birth to—and was forced to leave behind—when she was a teenager. She had promised her family she’d never look back, but Ruth knows that to move forward, she must make peace with the past. Returning home, Ruth discovers the Indiana factory town of her youth is plagued by unemployment, racism, and despair. As she begins digging into the past, she unexpectedly befriends Midnight, a young white boy who is also adrift and looking for connection. Just as Ruth is about to uncover a burning secret her family desperately wants to keep hidden, a heart-stopping incident strains the town’s already searing racial tensions, sending Ruth and Midnight on a collision course that could upend both their lives. Powerful and unforgettable, The Kindest Lie is the story of an American family and reveals the secrets we keep and the promises we make to protect one another.
New Trends in Control Theory
Author: Vladimir G. Ivancevic
Publisher: World Scientific
ISBN: 981442594X
Category : Mathematics
Languages : en
Pages : 737
Book Description
New Trends in Control Theory is a graduate-level monographic textbook. It is a contemporary overview of modern trends in control theory. The introductory chapter gives the geometrical and quantum background, which is a necessary minimum for comprehensive reading of the book. The second chapter gives the basics of classical control theory, both linear and nonlinear. The third chapter shows the key role that Euclidean group of rigid motions plays in modern robotics and biomechanics. The fourth chapter gives an overview of modern quantum control, from both theoretical and measurement perspectives. The fifth chapter presents modern control and synchronization methods in complex systems and human crowds. The appendix provides the rest of the background material complementary to the introductory chapter. The book is designed as a one-semester course for engineers, applied mathematicians, computer scientists and physicists, both in industry and academia. It includes a most relevant bibliography on the subject and detailed index.
Publisher: World Scientific
ISBN: 981442594X
Category : Mathematics
Languages : en
Pages : 737
Book Description
New Trends in Control Theory is a graduate-level monographic textbook. It is a contemporary overview of modern trends in control theory. The introductory chapter gives the geometrical and quantum background, which is a necessary minimum for comprehensive reading of the book. The second chapter gives the basics of classical control theory, both linear and nonlinear. The third chapter shows the key role that Euclidean group of rigid motions plays in modern robotics and biomechanics. The fourth chapter gives an overview of modern quantum control, from both theoretical and measurement perspectives. The fifth chapter presents modern control and synchronization methods in complex systems and human crowds. The appendix provides the rest of the background material complementary to the introductory chapter. The book is designed as a one-semester course for engineers, applied mathematicians, computer scientists and physicists, both in industry and academia. It includes a most relevant bibliography on the subject and detailed index.
Representations of Semisimple Lie Algebras in the BGG Category O
Author: James E. Humphreys
Publisher: American Mathematical Soc.
ISBN: 1470463261
Category : Education
Languages : en
Pages : 289
Book Description
This is the first textbook treatment of work leading to the landmark 1979 Kazhdan–Lusztig Conjecture on characters of simple highest weight modules for a semisimple Lie algebra g g over C C. The setting is the module category O O introduced by Bernstein–Gelfand–Gelfand, which includes all highest weight modules for g g such as Verma modules and finite dimensional simple modules. Analogues of this category have become influential in many areas of representation theory. Part I can be used as a text for independent study or for a mid-level one semester graduate course; it includes exercises and examples. The main prerequisite is familiarity with the structure theory of g g. Basic techniques in category O O such as BGG Reciprocity and Jantzen's translation functors are developed, culminating in an overview of the proof of the Kazhdan–Lusztig Conjecture (due to Beilinson–Bernstein and Brylinski–Kashiwara). The full proof however is beyond the scope of this book, requiring deep geometric methods: D D-modules and perverse sheaves on the flag variety. Part II introduces closely related topics important in current research: parabolic category O O, projective functors, tilting modules, twisting and completion functors, and Koszul duality theorem of Beilinson–Ginzburg–Soergel.
Publisher: American Mathematical Soc.
ISBN: 1470463261
Category : Education
Languages : en
Pages : 289
Book Description
This is the first textbook treatment of work leading to the landmark 1979 Kazhdan–Lusztig Conjecture on characters of simple highest weight modules for a semisimple Lie algebra g g over C C. The setting is the module category O O introduced by Bernstein–Gelfand–Gelfand, which includes all highest weight modules for g g such as Verma modules and finite dimensional simple modules. Analogues of this category have become influential in many areas of representation theory. Part I can be used as a text for independent study or for a mid-level one semester graduate course; it includes exercises and examples. The main prerequisite is familiarity with the structure theory of g g. Basic techniques in category O O such as BGG Reciprocity and Jantzen's translation functors are developed, culminating in an overview of the proof of the Kazhdan–Lusztig Conjecture (due to Beilinson–Bernstein and Brylinski–Kashiwara). The full proof however is beyond the scope of this book, requiring deep geometric methods: D D-modules and perverse sheaves on the flag variety. Part II introduces closely related topics important in current research: parabolic category O O, projective functors, tilting modules, twisting and completion functors, and Koszul duality theorem of Beilinson–Ginzburg–Soergel.