Conjugacy Classes In Semisimple Algebraic Groups

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Conjugacy Classes In Semisimple Algebraic Groups

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Author : James E. Humphreys
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Conjugacy Classes In Semisimple Algebraic Groups written by James E. Humphreys and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Education categories.

Provides a useful exposition of results on the structure of semisimple algebraic groups over an arbitrary algebraically closed field. After the fundamental work of Borel and Chevalley in the 1950s and 1960s, further results were obtained over the next thirty years on conjugacy classes and centralizers of elements of such groups.

Conjugacy Classes In Algebraic Groups

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Author : R. Steinberg
language : en
Publisher: Springer
Release Date : 2006-11-15

Conjugacy Classes In Algebraic Groups written by R. Steinberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Conjugacy Classes Of Non Connected Semisimple Algebraic Groups

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Author : Stephan Mohrdieck
language : en
Publisher:
Release Date : 2000

Conjugacy Classes Of Non Connected Semisimple Algebraic Groups written by Stephan Mohrdieck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Algebraic Groups And Lie Groups

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Author : Gus Lehrer
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-23

Algebraic Groups And Lie Groups written by Gus Lehrer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-23 with Mathematics categories.

This volume contains original research articles by many of the world's leading researchers in algebraic and Lie groups. Its inclination is algebraic and geometic, although analytical aspects are included. The central theme reflects the interests of R. W. Richardson, viz connections between representation theory and the structure and geometry of algebraic groups. All workers on algebraic and Lie groups will find that this book contains a wealth of interesting material.

Unipotent And Nilpotent Classes In Simple Algebraic Groups And Lie Algebras

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Author : Martin W. Liebeck
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-01-25

Unipotent And Nilpotent Classes In Simple Algebraic Groups And Lie Algebras written by Martin W. Liebeck and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Mathematics categories.

This book concerns the theory of unipotent elements in simple algebraic groups over algebraically closed or finite fields, and nilpotent elements in the corresponding simple Lie algebras. These topics have been an important area of study for decades, with applications to representation theory, character theory, the subgroup structure of algebraic groups and finite groups, and the classification of the finite simple groups. The main focus is on obtaining full information on class representatives and centralizers of unipotent and nilpotent elements. Although there is a substantial literature on this topic, this book is the first single source where such information is presented completely in all characteristics. In addition, many of the results are new--for example, those concerning centralizers of nilpotent elements in small characteristics. Indeed, the whole approach, while using some ideas from the literature, is novel, and yields many new general and specific facts concerning the structure and embeddings of centralizers.

Lie Algebras And Algebraic Groups

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Author : Patrice Tauvel
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-04-25

Lie Algebras And Algebraic Groups written by Patrice Tauvel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-25 with Mathematics categories.

Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included, and some recent results are discussed in the final chapters.

Finite Groups Of Lie Type

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Author : Roger W. Carter
language : en
Publisher:
Release Date : 1993-08-24

Finite Groups Of Lie Type written by Roger W. Carter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-24 with Mathematics categories.

The finite groups of Lie type are of basic importance in the theory of groups. A classic in its field, this book presents the theories of finite groups of Lie type in a clear and accessible style, especially with regard to the main concepts of the theory and the techniques of proof used, and gives a detailed exposition of the complex representation theory.

Linear Algebraic Groups And Finite Groups Of Lie Type

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Author : Gunter Malle
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-08

Linear Algebraic Groups And Finite Groups Of Lie Type written by Gunter Malle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-08 with Mathematics categories.

Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.

Endomorphisms Of Linear Algebraic Groups

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Author : Robert Steinberg
language : en
Publisher: American Mathematical Soc.
Release Date : 1968

Endomorphisms Of Linear Algebraic Groups written by Robert Steinberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Endomorphisms categories.

Lie Groups And Invariant Theory

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Author : Ėrnest Borisovich Vinberg
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Lie Groups And Invariant Theory written by Ėrnest Borisovich Vinberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.

This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.