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Representations of Algebraic Groups

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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 77X/5 ( reviews)

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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. This book was released on 2003. 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.

Representations of Reductive Groups

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Release : 2016-01-06
Genre : Mathematics
Kind : eBook
Book Rating : 427/5 ( reviews)

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Book Synopsis Representations of Reductive Groups by : Monica Nevins

Download or read book Representations of Reductive Groups written by Monica Nevins. This book was released on 2016-01-06. Available in PDF, EPUB and Kindle. Book excerpt: Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. His groundbreaking ideas have lead to deep advances in the theory of real and p-adic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics. Representations of Reductive Groups is an outgrowth of the conference of the same name, dedicated to David Vogan on his 60th birthday, which took place at MIT on May 19-23, 2014. This volume highlights the depth and breadth of Vogan's influence over the subjects mentioned above, and point to many exciting new directions that remain to be explored. Notably, the first article by McGovern and Trapa offers an overview of Vogan's body of work, placing his ideas in a historical context. Contributors: Pramod N. Achar, Jeffrey D. Adams, Dan Barbasch, Manjul Bhargava, Cédric Bonnafé, Dan Ciubotaru, Meinolf Geck, William Graham, Benedict H. Gross, Xuhua He, Jing-Song Huang, Toshiyuki Kobayashi, Bertram Kostant, Wenjing Li, George Lusztig, Eric Marberg, William M. McGovern, Wilfried Schmid, Kari Vilonen, Diana Shelstad, Peter E. Trapa, David A. Vogan, Jr., Nolan R. Wallach, Xiaoheng Wang, Geordie Williamson

Representations of Reductive Groups

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Release : 1998-09-03
Genre : Mathematics
Kind : eBook
Book Rating : 252/5 ( reviews)

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Book Synopsis Representations of Reductive Groups by : Roger W. Carter

Download or read book Representations of Reductive Groups written by Roger W. Carter. This book was released on 1998-09-03. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.

Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118

Download Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 PDF Online Free

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Release : 2016-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 389/5 ( reviews)

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Book Synopsis Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 by : David A. Vogan Jr.

Download or read book Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 written by David A. Vogan Jr.. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.

Representation Theory of Finite Reductive Groups

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Release : 2004-01-29
Genre : Mathematics
Kind : eBook
Book Rating : 172/5 ( reviews)

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Book Synopsis Representation Theory of Finite Reductive Groups by : Marc Cabanes

Download or read book Representation Theory of Finite Reductive Groups written by Marc Cabanes. This book was released on 2004-01-29. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

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