Finite Reductive Groups: Related Structures and Representations PDF Download
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Author: Marc Cabanes
Publisher: Springer Science & Business Media
ISBN: 9780817638856
Category : Mathematics
Languages : en
Pages : 468
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Book Description
Finite reductive groups and their representations lie at the heart of group theory. This volume treats linear representations of finite reductive groups and their modular aspects together with Hecke algebras, complex reflection groups, quantum groups, arithmetic groups, Lie groups, symmetric groups and general finite groups.
Author: George Lusztig
Publisher: Princeton University Press
ISBN: 0691083517
Category : Mathematics
Languages : en
Pages : 407
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Book Description
This book presents a classification of all (complex) irreducible representations of a reductive group with connected centre, over a finite field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups.
Author: Roger W. Carter
Publisher: Cambridge University Press
ISBN: 0521643252
Category : Mathematics
Languages : en
Pages : 203
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Book Description
This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
Author: Marc Cabanes
Publisher: Springer Science & Business Media
ISBN: 9780817638856
Category : Mathematics
Languages : en
Pages : 468
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Book Description
Finite reductive groups and their representations lie at the heart of group theory. This volume treats linear representations of finite reductive groups and their modular aspects together with Hecke algebras, complex reflection groups, quantum groups, arithmetic groups, Lie groups, symmetric groups and general finite groups.
Author: C. Musili
Publisher: Springer
ISBN: 9380250851
Category : Mathematics
Languages : en
Pages : 252
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Book Description
Author: Marc Cabanes
Publisher: Springer Science & Business Media
ISBN: 1461241243
Category : Mathematics
Languages : en
Pages : 455
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Book Description
Finite reductive groups and their representations lie at the heart of group theory. This volume treats linear representations of finite reductive groups and their modular aspects together with Hecke algebras, complex reflection groups, quantum groups, arithmetic groups, Lie groups, symmetric groups and general finite groups.
Author: Marc Cabanes
Publisher:
ISBN: 9781461241256
Category :
Languages : en
Pages : 468
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Book Description
Author:
Publisher: Academic Press
ISBN: 0080873898
Category : Mathematics
Languages : en
Pages : 259
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Book Description
Modular Representations of Finite Groups
Author: Lucas David Mason-Brown
Publisher:
ISBN:
Category :
Languages : en
Pages : 210
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Book Description
Author: Thomas Charles B
Publisher: World Scientific
ISBN: 1911298313
Category : Mathematics
Languages : en
Pages : 156
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Book Description
This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as an averaging tool. Among the topics covered are the relation between representations and characters, the construction of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group Sn as an illustrative example. The book concludes with a chapter comparing the representations of the finite group SL2(p) and the non-compact Lie group SL2(P)./a
Author: Jeffrey Adams
Publisher: American Mathematical Soc.
ISBN: 1470423146
Category : Mathematics
Languages : en
Pages : 354
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Book Description
This book contains written versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. The volume begins with lectures by A. Knapp and P. Trapa outlining the state of the subject around the year 1975, specifically, the fundamental results of Harish-Chandra on the general structure of infinite-dimensional representations and the Langlands classification. Additional contributions outline developments in four of the most active areas of research over the past 20 years. The clearly written articles present results to date, as follows: R. Zierau and L. Barchini discuss the construction of representations on Dolbeault cohomology spaces. D. Vogan describes the status of the Kirillov-Kostant "philosophy of coadjoint orbits" for unitary representations. K. Vilonen presents recent advances in the Beilinson-Bernstein theory of "localization". And Jian-Shu Li covers Howe's theory of "dual reductive pairs". Each contributor to the volume presents the topics in a unique, comprehensive, and accessible manner geared toward advanced graduate students and researchers. Students should have completed the standard introductory graduate courses for full comprehension of the work. The book would also serve well as a supplementary text for a course on introductory infinite-dimensional representation theory. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
