Conjugacy Classes in Algebraic Groups

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Publisher : Springer
ISBN 13 : 3540379312
Total Pages : 166 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Conjugacy Classes in Algebraic Groups by : R. Steinberg

Download or read book Conjugacy Classes in Algebraic Groups written by R. Steinberg and published by Springer. This book was released on 2006-11-15 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conjugacy Classes in Semisimple Algebraic Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852760
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Conjugacy Classes in Semisimple Algebraic Groups by : James E. Humphreys

Download or read book Conjugacy Classes in Semisimple Algebraic Groups written by James E. Humphreys and published by American Mathematical Soc.. This book was released on 1995 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis Conjugacy Classes in Algebraic Groups by : Robert Steinberg

Download or read book Conjugacy Classes in Algebraic Groups written by Robert Steinberg and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Seminar on Algebraic Groups and Related Finite Groups

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Publisher : Springer
ISBN 13 : 354036272X
Total Pages : 329 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Seminar on Algebraic Groups and Related Finite Groups by : Armand Borel

Download or read book Seminar on Algebraic Groups and Related Finite Groups written by Armand Borel and published by Springer. This book was released on 2006-11-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contact Manifolds in Riemannian Geometry

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Publisher : Springer
ISBN 13 : 3540381546
Total Pages : 153 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Contact Manifolds in Riemannian Geometry by : D. E. Blair

Download or read book Contact Manifolds in Riemannian Geometry written by D. E. Blair and published by Springer. This book was released on 2006-11-14 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 0821869205
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras by : Martin W. Liebeck

Download or read book Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras written by Martin W. Liebeck and published by American Mathematical Soc.. This book was released on 2012-01-25 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Products of Conjugacy Classes in Groups

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Publisher : Springer
ISBN 13 : 3540391428
Total Pages : 249 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Products of Conjugacy Classes in Groups by : Zvi Arad

Download or read book Products of Conjugacy Classes in Groups written by Zvi Arad and published by Springer. This book was released on 2006-11-14 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representations of Algebraic Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 082184377X
Total Pages : 594 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representations of Algebraic Groups by : Jens Carsten Jantzen

Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on 2003 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.

Finite Groups of Lie Type

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Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Finite Groups of Lie Type by : Roger W. Carter

Download or read book Finite Groups of Lie Type written by Roger W. Carter and published by . This book was released on 1993-08-24 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Endomorphisms of Linear Algebraic Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821812807
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Endomorphisms of Linear Algebraic Groups by : Robert Steinberg

Download or read book Endomorphisms of Linear Algebraic Groups written by Robert Steinberg and published by American Mathematical Soc.. This book was released on 1968 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representations of Finite Groups of Lie Type

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Publisher : Cambridge University Press
ISBN 13 : 1108481485
Total Pages : 267 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Representations of Finite Groups of Lie Type by : François Digne

Download or read book Representations of Finite Groups of Lie Type written by François Digne and published by Cambridge University Press. This book was released on 2020-03-05 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.

Linear Algebraic Groups and Finite Groups of Lie Type

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Publisher : Cambridge University Press
ISBN 13 : 113949953X
Total Pages : 324 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Linear Algebraic Groups and Finite Groups of Lie Type by : Gunter Malle

Download or read book Linear Algebraic Groups and Finite Groups of Lie Type written by Gunter Malle and published by Cambridge University Press. This book was released on 2011-09-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometry of Lie Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 147575325X
Total Pages : 414 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Geometry of Lie Groups by : B. Rosenfeld

Download or read book Geometry of Lie Groups written by B. Rosenfeld and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947- 1949), Azerbaijan State University (Baku) (1950-1955), Kolomna Pedagogical Col lege (1955-1970), Moscow Pedagogical University (1971-1990), and Pennsylvania State University (1990-1995). My first books on Non-Euclidean Geometries and Geometry of Lie groups were written in Russian and published in Moscow: Non-Euclidean Geometries (1955) [Ro1] , Multidimensional Spaces (1966) [Ro2] , and Non-Euclidean Spaces (1969) [Ro3]. In [Ro1] I considered non-Euclidean geometries in the broad sense, as geometry of simple Lie groups, since classical non-Euclidean geometries, hyperbolic and elliptic, are geometries of simple Lie groups of classes Bn and D , and geometries of complex n and quaternionic Hermitian elliptic and hyperbolic spaces are geometries of simple Lie groups of classes An and en. [Ro1] contains an exposition of the geometry of classical real non-Euclidean spaces and their interpretations as hyperspheres with identified antipodal points in Euclidean or pseudo-Euclidean spaces, and in projective and conformal spaces. Numerous interpretations of various spaces different from our usual space allow us, like stereoscopic vision, to see many traits of these spaces absent in the usual space.

Algebraic Groups

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Publisher : Cambridge University Press
ISBN 13 : 1107167485
Total Pages : 665 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Algebraic Groups by : J. S. Milne

Download or read book Algebraic Groups written by J. S. Milne and published by Cambridge University Press. This book was released on 2017-09-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.

A Course in Finite Group Representation Theory

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Publisher : Cambridge University Press
ISBN 13 : 1107162394
Total Pages : 339 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis A Course in Finite Group Representation Theory by : Peter Webb

Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Visual Group Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470464330
Total Pages : 295 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Visual Group Theory by : Nathan Carter

Download or read book Visual Group Theory written by Nathan Carter and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Counterexamples in Topology

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Publisher : Courier Corporation
ISBN 13 : 0486319296
Total Pages : 274 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Counterexamples in Topology by : Lynn Arthur Steen

Download or read book Counterexamples in Topology written by Lynn Arthur Steen and published by Courier Corporation. This book was released on 2013-04-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.