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Author: Mary Bush
Publisher: Open Road Media
ISBN: 1504069730
Category : Fiction
Languages : en
Pages : 337
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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.
Author: Mary Bush
Publisher: Open Road Media
ISBN: 1504069730
Category : Fiction
Languages : en
Pages : 337
Get Book Here
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.
Author: Alfred Magnus
Publisher: American Mathematical Soc.
ISBN: 0821822160
Category : Mathematics
Languages : en
Pages : 62
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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.
Author: Robert N. Cahn
Publisher: Courier Corporation
ISBN: 0486150313
Category : Mathematics
Languages : en
Pages : 180
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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.
Author: James E. Humphreys
Publisher: American Mathematical Soc.
ISBN: 9780821872529
Category : Categories (Mathematics)
Languages : en
Pages : 320
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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 $\mathfrak{g}$ over $\mathbb {C}$. The setting is the module category $\mathscr {O}$ introduced by Bernstein-Gelfand-Gelfand, which includes all highest weight modules for $\mathfrak{g}$ 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 $\mathfrak{g}$. Basic techniques in category $\mathscr {O}$ 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: $D$-modules and perverse sheaves on the flag variety. Part II introduces closely related topics important in current research: parabolic category $\mathscr {O}$, projective functors, tilting modules, twisting and completion functors, and Koszul duality theorem of Beilinson-Ginzburg-Soergel.
Author: William.M. McGovern
Publisher: Routledge
ISBN: 1351428683
Category : Mathematics
Languages : en
Pages : 206
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Book Description
Through the 1990s, a circle of ideas emerged relating three very different kinds of objects associated to a complex semisimple Lie algebra: nilpotent orbits, representations of a Weyl group, and primitive ideals in an enveloping algebra. The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits, beginning from the common ground of basic structure theory. The techniques used are elementary and in the toolkit of any graduate student interested in the harmonic analysis of representation theory of Lie groups. The book develops the Dynkin-Konstant and Bala-Carter classifications of complex nilpotent orbits, derives the Lusztig-Spaltenstein theory of induction of nilpotent orbits, discusses basic topological questions, and classifies real nilpotent orbits. The classical algebras are emphasized throughout; here the theory can be simplified by using the combinatorics of partitions and tableaux. The authors conclude with a survey of advanced topics related to the above circle of ideas. This book is the product of a two-quarter course taught at the University of Washington.
Author: Johan G. F. Belinfante
Publisher: SIAM
ISBN: 9781611971330
Category : Mathematics
Languages : en
Pages : 175
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Book Description
Introduces the concepts and methods of the Lie theory in a form accessible to the non-specialist by keeping mathematical prerequisites to a minimum. Although the authors have concentrated on presenting results while omitting most of the proofs, they have compensated for these omissions by including many references to the original literature. Their treatment is directed toward the reader seeking a broad view of the subject rather than elaborate information about technical details. Illustrations of various points of the Lie theory itself are found throughout the book in material on applications. In this reprint edition, the authors have resisted the temptation of including additional topics. Except for correcting a few minor misprints, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed.
Author: Nathan Jacobson
Publisher: Courier Corporation
ISBN: 9780486638324
Category : Mathematics
Languages : en
Pages : 348
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Book Description
Definitive treatment of important subject in modern mathematics. Covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras over an arbitrary field, etc. Index.
Author: Vladimir K. Dobrev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311042780X
Category : Mathematics
Languages : en
Pages : 511
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Book Description
With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents: Introduction Lie Algebras and Groups Real Semisimple Lie Algebras Invariant Differential Operators Case of the Anti-de Sitter Group Conformal Case in 4D Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras Multilinear Invariant Differential Operators from New Generalized Verma Modules Bibliography Author Index Subject Index
Author: Morikuni Goto
Publisher: CRC Press
ISBN: 1000116778
Category : Mathematics
Languages : en
Pages : 495
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Book Description
This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.
Author: George B. Seligman
Publisher: American Mathematical Soc.
ISBN: 0821850083
Category : Mathematics
Languages : en
Pages : 203
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Book Description
Suitable for researchers in Lie theory and in the theory of linear algebra, associative or otherwise, and to graduate students who have had some background in one or more of these areas.
