Author: Zhexian Wan
Publisher: Springer Science & Business Media
ISBN: 9780792339892
Category : Mathematics
Languages : en
Pages : 282
Book Description
Hsio-Fu Tuan is a Chinese mathematician who has made important contributions to the theories of both finite groups and Lie groups. He has also had a great influence on the development of algebra, and particularly group theory in China. The present volume consists of a collection of essays on various aspects of group theory written by some of his former students and colleagues in honour of his 80th birthday. The papers contain the main general results, as well as recent ones, on certain topics within this discipline. The chief editor, Zhe-Xian Wan, is a leading algebraist in China.
Group Theory in China
Author: Zhexian Wan
Publisher: Springer Science & Business Media
ISBN: 9780792339892
Category : Mathematics
Languages : en
Pages : 282
Book Description
Hsio-Fu Tuan is a Chinese mathematician who has made important contributions to the theories of both finite groups and Lie groups. He has also had a great influence on the development of algebra, and particularly group theory in China. The present volume consists of a collection of essays on various aspects of group theory written by some of his former students and colleagues in honour of his 80th birthday. The papers contain the main general results, as well as recent ones, on certain topics within this discipline. The chief editor, Zhe-Xian Wan, is a leading algebraist in China.
Publisher: Springer Science & Business Media
ISBN: 9780792339892
Category : Mathematics
Languages : en
Pages : 282
Book Description
Hsio-Fu Tuan is a Chinese mathematician who has made important contributions to the theories of both finite groups and Lie groups. He has also had a great influence on the development of algebra, and particularly group theory in China. The present volume consists of a collection of essays on various aspects of group theory written by some of his former students and colleagues in honour of his 80th birthday. The papers contain the main general results, as well as recent ones, on certain topics within this discipline. The chief editor, Zhe-Xian Wan, is a leading algebraist in China.
Rings, Groups, and Algebras
Author: X. Cao
Publisher: CRC Press
ISBN: 1000116794
Category : Mathematics
Languages : en
Pages : 349
Book Description
"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."
Publisher: CRC Press
ISBN: 1000116794
Category : Mathematics
Languages : en
Pages : 349
Book Description
"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."
Combinatorial Group Theory and Topology
Author: S. M. Gersten
Publisher: Princeton University Press
ISBN: 9780691084107
Category : Mathematics
Languages : en
Pages : 568
Book Description
Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah. Contributors to the book include Roger Alperin, Hyman Bass, Max Benson, Joan S. Birman, Andrew J. Casson, Marshall Cohen, Donald J. Collins, Robert Craggs, Michael Dyer, Beno Eckmann, Stephen M. Gersten, Jane Gilman, Robert H. Gilman, Narain D. Gupta, John Hempel, James Howie, Roger Lyndon, Martin Lustig, Lee P. Neuwirth, Andrew J. Nicas, N. Patterson, John G. Ratcliffe, Frank Rimlinger, Caroline Series, John R. Stallings, C. W. Stark, and A. Royce Wolf.
Publisher: Princeton University Press
ISBN: 9780691084107
Category : Mathematics
Languages : en
Pages : 568
Book Description
Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah. Contributors to the book include Roger Alperin, Hyman Bass, Max Benson, Joan S. Birman, Andrew J. Casson, Marshall Cohen, Donald J. Collins, Robert Craggs, Michael Dyer, Beno Eckmann, Stephen M. Gersten, Jane Gilman, Robert H. Gilman, Narain D. Gupta, John Hempel, James Howie, Roger Lyndon, Martin Lustig, Lee P. Neuwirth, Andrew J. Nicas, N. Patterson, John G. Ratcliffe, Frank Rimlinger, Caroline Series, John R. Stallings, C. W. Stark, and A. Royce Wolf.
Group Theory for Physicists
Author: Zhongqi Ma
Publisher: World Scientific
ISBN: 9812771417
Category : Science
Languages : en
Pages : 512
Book Description
This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.
Publisher: World Scientific
ISBN: 9812771417
Category : Science
Languages : en
Pages : 512
Book Description
This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.
Asymmetry and International Relationships
Author: Brantly Womack
Publisher: Cambridge University Press
ISBN: 1107132894
Category : Political Science
Languages : en
Pages : 263
Book Description
America's longest wars have been 'small wars'. This book explains how power differences shape - but don't determine - international relationships.
Publisher: Cambridge University Press
ISBN: 1107132894
Category : Political Science
Languages : en
Pages : 263
Book Description
America's longest wars have been 'small wars'. This book explains how power differences shape - but don't determine - international relationships.
China's Long March to Freedom
Author: Kate Zhou
Publisher: Transaction Publishers
ISBN: 1412815207
Category : Business & Economics
Languages : en
Pages : 393
Book Description
China is more than a socialist market economy led by ever more reform-minded leaders. It is a country whose people seek liberty on a daily basis. Th eir success has been phenomenal, despite the fact that China continues to be governed by a single party. Clear distinctions between the people and the government are emerging, underlining the fact that true liberalization cannot be imposed from above. Although a large percentage of the Chinese people have been part of China's long march to freedom, farmers, entrepreneurs, migrants, Chinese gays, sex pleasure seekers, and black-marketers played a particularly important role in the beginning. Lawyers, scholars, journalists, and rights activists have jumped in more recently to ensure that liberalization continues. Social dissatisfaction with the government is now published in the media, addressed in public forums, and deliberated in courtrooms. Intellectuals devoted to improvement in human rights and continued liberalization are part of the process. This grassroots social revolution has also resulted from the explosion of information available to ordinary people (especially via the Internet) and far-reaching international influences. All have fundamentally altered key elements of the moral and material content of China's party-state regime and society at large. Th is social revolution is moving China towards a more liberal society despite its government. Th e Chinese government reacts, rather than leads, in this transformative process. Th is book is a landmark--a decade in the making.
Publisher: Transaction Publishers
ISBN: 1412815207
Category : Business & Economics
Languages : en
Pages : 393
Book Description
China is more than a socialist market economy led by ever more reform-minded leaders. It is a country whose people seek liberty on a daily basis. Th eir success has been phenomenal, despite the fact that China continues to be governed by a single party. Clear distinctions between the people and the government are emerging, underlining the fact that true liberalization cannot be imposed from above. Although a large percentage of the Chinese people have been part of China's long march to freedom, farmers, entrepreneurs, migrants, Chinese gays, sex pleasure seekers, and black-marketers played a particularly important role in the beginning. Lawyers, scholars, journalists, and rights activists have jumped in more recently to ensure that liberalization continues. Social dissatisfaction with the government is now published in the media, addressed in public forums, and deliberated in courtrooms. Intellectuals devoted to improvement in human rights and continued liberalization are part of the process. This grassroots social revolution has also resulted from the explosion of information available to ordinary people (especially via the Internet) and far-reaching international influences. All have fundamentally altered key elements of the moral and material content of China's party-state regime and society at large. Th is social revolution is moving China towards a more liberal society despite its government. Th e Chinese government reacts, rather than leads, in this transformative process. Th is book is a landmark--a decade in the making.
Group Representation Theory For Physicists (2nd Edition)
Author: Jialun Ping
Publisher: World Scientific Publishing Company
ISBN: 981310600X
Category : Science
Languages : en
Pages : 602
Book Description
This book introduces systematically the eigenfunction method, a new approach to the group representation theory which was developed by the authors in the 1970's and 1980's in accordance with the concept and method used in quantum mechanics. It covers the applications of the group theory in various branches of physics and quantum chemistry, especially nuclear and molecular physics. Extensive tables and computational methods are presented.Group Representation Theory for Physicists may serve as a handbook for researchers doing group theory calculations. It is also a good reference book and textbook for undergraduate and graduate students who intend to use group theory in their future research careers.
Publisher: World Scientific Publishing Company
ISBN: 981310600X
Category : Science
Languages : en
Pages : 602
Book Description
This book introduces systematically the eigenfunction method, a new approach to the group representation theory which was developed by the authors in the 1970's and 1980's in accordance with the concept and method used in quantum mechanics. It covers the applications of the group theory in various branches of physics and quantum chemistry, especially nuclear and molecular physics. Extensive tables and computational methods are presented.Group Representation Theory for Physicists may serve as a handbook for researchers doing group theory calculations. It is also a good reference book and textbook for undergraduate and graduate students who intend to use group theory in their future research careers.
Group Theory
Author: Predrag Cvitanović
Publisher: Princeton University Press
ISBN: 1400837677
Category : Mathematics
Languages : en
Pages : 278
Book Description
If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdtracks" notation inspired by the Feynman diagrams of quantum field theory. Notably, invariant tensor diagrams replace algebraic reasoning in carrying out all group-theoretic computations. The diagrammatic approach is particularly effective in evaluating complicated coefficients and group weights, and revealing symmetries hidden by conventional algebraic or index notations. The book covers most topics needed in applications from this new perspective: permutations, Young projection operators, spinorial representations, Casimir operators, and Dynkin indices. Beyond this well-traveled territory, more exotic vistas open up, such as "negative dimensional" relations between various groups and their representations. The most intriguing result of classifying primitive invariants is the emergence of all exceptional Lie groups in a single family, and the attendant pattern of exceptional and classical Lie groups, the so-called Magic Triangle. Written in a lively and personable style, the book is aimed at researchers and graduate students in theoretical physics and mathematics.
Publisher: Princeton University Press
ISBN: 1400837677
Category : Mathematics
Languages : en
Pages : 278
Book Description
If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdtracks" notation inspired by the Feynman diagrams of quantum field theory. Notably, invariant tensor diagrams replace algebraic reasoning in carrying out all group-theoretic computations. The diagrammatic approach is particularly effective in evaluating complicated coefficients and group weights, and revealing symmetries hidden by conventional algebraic or index notations. The book covers most topics needed in applications from this new perspective: permutations, Young projection operators, spinorial representations, Casimir operators, and Dynkin indices. Beyond this well-traveled territory, more exotic vistas open up, such as "negative dimensional" relations between various groups and their representations. The most intriguing result of classifying primitive invariants is the emergence of all exceptional Lie groups in a single family, and the attendant pattern of exceptional and classical Lie groups, the so-called Magic Triangle. Written in a lively and personable style, the book is aimed at researchers and graduate students in theoretical physics and mathematics.
The Theory of Classes of Groups
Author: Guo Wenbin
Publisher: Springer Science & Business Media
ISBN: 9401140545
Category : Mathematics
Languages : en
Pages : 270
Book Description
One of the characteristics of modern algebra is the development of new tools and concepts for exploring classes of algebraic systems, whereas the research on individual algebraic systems (e. g. , groups, rings, Lie algebras, etc. ) continues along traditional lines. The early work on classes of alge bras was concerned with showing that one class X of algebraic systems is actually contained in another class F. Modern research into the theory of classes was initiated in the 1930's by Birkhoff's work [1] on general varieties of algebras, and Neumann's work [1] on varieties of groups. A. I. Mal'cev made fundamental contributions to this modern development. ln his re ports [1, 3] of 1963 and 1966 to The Fourth All-Union Mathematics Con ference and to another international mathematics congress, striking the ories of classes of algebraic systems were presented. These were later included in his book [5]. International interest in the theory of formations of finite groups was aroused, and rapidly heated up, during this time, thanks to the work of Gaschiitz [8] in 1963, and the work of Carter and Hawkes [1] in 1967. The major topics considered were saturated formations, Fitting classes, and Schunck classes. A class of groups is called a formation if it is closed with respect to homomorphic images and subdirect products. A formation is called saturated provided that G E F whenever Gjip(G) E F.
Publisher: Springer Science & Business Media
ISBN: 9401140545
Category : Mathematics
Languages : en
Pages : 270
Book Description
One of the characteristics of modern algebra is the development of new tools and concepts for exploring classes of algebraic systems, whereas the research on individual algebraic systems (e. g. , groups, rings, Lie algebras, etc. ) continues along traditional lines. The early work on classes of alge bras was concerned with showing that one class X of algebraic systems is actually contained in another class F. Modern research into the theory of classes was initiated in the 1930's by Birkhoff's work [1] on general varieties of algebras, and Neumann's work [1] on varieties of groups. A. I. Mal'cev made fundamental contributions to this modern development. ln his re ports [1, 3] of 1963 and 1966 to The Fourth All-Union Mathematics Con ference and to another international mathematics congress, striking the ories of classes of algebraic systems were presented. These were later included in his book [5]. International interest in the theory of formations of finite groups was aroused, and rapidly heated up, during this time, thanks to the work of Gaschiitz [8] in 1963, and the work of Carter and Hawkes [1] in 1967. The major topics considered were saturated formations, Fitting classes, and Schunck classes. A class of groups is called a formation if it is closed with respect to homomorphic images and subdirect products. A formation is called saturated provided that G E F whenever Gjip(G) E F.
The Long Game
Author: Rush Doshi
Publisher: Oxford University Press
ISBN: 0197527876
Category : Political Science
Languages : en
Pages : 433
Book Description
For more than a century, no US adversary or coalition of adversaries - not Nazi Germany, Imperial Japan, or the Soviet Union - has ever reached sixty percent of US GDP. China is the sole exception, and it is fast emerging into a global superpower that could rival, if not eclipse, the United States. What does China want, does it have a grand strategy to achieve it, and what should the United States do about it? In The Long Game, Rush Doshi draws from a rich base of Chinese primary sources, including decades worth of party documents, leaked materials, memoirs by party leaders, and a careful analysis of China's conduct to provide a history of China's grand strategy since the end of the Cold War. Taking readers behind the Party's closed doors, he uncovers Beijing's long, methodical game to displace America from its hegemonic position in both the East Asia regional and global orders through three sequential "strategies of displacement." Beginning in the 1980s, China focused for two decades on "hiding capabilities and biding time." After the 2008 Global Financial Crisis, it became more assertive regionally, following a policy of "actively accomplishing something." Finally, in the aftermath populist elections of 2016, China shifted to an even more aggressive strategy for undermining US hegemony, adopting the phrase "great changes unseen in century." After charting how China's long game has evolved, Doshi offers a comprehensive yet asymmetric plan for an effective US response. Ironically, his proposed approach takes a page from Beijing's own strategic playbook to undermine China's ambitions and strengthen American order without competing dollar-for-dollar, ship-for-ship, or loan-for-loan.
Publisher: Oxford University Press
ISBN: 0197527876
Category : Political Science
Languages : en
Pages : 433
Book Description
For more than a century, no US adversary or coalition of adversaries - not Nazi Germany, Imperial Japan, or the Soviet Union - has ever reached sixty percent of US GDP. China is the sole exception, and it is fast emerging into a global superpower that could rival, if not eclipse, the United States. What does China want, does it have a grand strategy to achieve it, and what should the United States do about it? In The Long Game, Rush Doshi draws from a rich base of Chinese primary sources, including decades worth of party documents, leaked materials, memoirs by party leaders, and a careful analysis of China's conduct to provide a history of China's grand strategy since the end of the Cold War. Taking readers behind the Party's closed doors, he uncovers Beijing's long, methodical game to displace America from its hegemonic position in both the East Asia regional and global orders through three sequential "strategies of displacement." Beginning in the 1980s, China focused for two decades on "hiding capabilities and biding time." After the 2008 Global Financial Crisis, it became more assertive regionally, following a policy of "actively accomplishing something." Finally, in the aftermath populist elections of 2016, China shifted to an even more aggressive strategy for undermining US hegemony, adopting the phrase "great changes unseen in century." After charting how China's long game has evolved, Doshi offers a comprehensive yet asymmetric plan for an effective US response. Ironically, his proposed approach takes a page from Beijing's own strategic playbook to undermine China's ambitions and strengthen American order without competing dollar-for-dollar, ship-for-ship, or loan-for-loan.