Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 PDF Download
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Author: George Lusztig
Publisher: Princeton University Press
ISBN: 1400881773
Category : Mathematics
Languages : en
Pages : 408
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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: George Lusztig
Publisher: Princeton University Press
ISBN: 1400881773
Category : Mathematics
Languages : en
Pages : 408
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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: George Lusztig
Publisher:
ISBN: 9780691083506
Category : Mathematics
Languages : en
Pages : 384
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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: Marc Cabanes
Publisher: Cambridge University Press
ISBN: 0521825172
Category : Mathematics
Languages : en
Pages : 457
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Book Description
Publisher 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: 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: J. Adams
Publisher: Springer Science & Business Media
ISBN: 146120383X
Category : Mathematics
Languages : en
Pages : 331
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Book Description
This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between p-adic representation theory and geometry on the space of p-adic representation theory and geometry on the space of p-adic Langlands parameters. This book provides and introduction to some modern geometric methods in representation theory. It is addressed to graduate students and research workers in representation theory and in automorphic forms.
Author: J. L. Alperin
Publisher: Cambridge University Press
ISBN: 9780521449267
Category : Mathematics
Languages : en
Pages : 198
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Book Description
The aim of this text is to present some of the key results in the representation theory of finite groups. In order to keep the account reasonably elementary, so that it can be used for graduate-level courses, Professor Alperin has concentrated on local representation theory, emphasising module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. As a text, this book contains ample material for a one semester course. Exercises are provided at the end of most sections; the results of some are used later in the text. Representation theory is applied in number theory, combinatorics and in many areas of algebra. This book will serve as an excellent introduction to those interested in the subject itself or its applications.
Author: François Digne
Publisher: Cambridge University Press
ISBN: 1108481485
Category : Mathematics
Languages : en
Pages : 267
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Book Description
An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.
Author: Donald G. Babbitt
Publisher: American Mathematical Soc.
ISBN: 9780821895191
Category : Mathematics
Languages : en
Pages : 394
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Book Description
This collection of reprinted 'Featured Reviews' published in Mathematical Reviews (MR) in 1995 and 1996 makes widely available informed reviews of some of the best mathematics published recently. 'Featured Reviews' were introduced in MR at the beginning of 1995 in part to provide some guidance to the current research-level literature. With the exponential growth of publications in mathematical research in the first half-century of MR, it had become essentially impossible for users of MR to identify the most important new research-level books and papers, especially in fields outside of the users' own expertise. This work identifies some of the "best" new publications, papers, and books that are expected to have a significant impact on the area of pure or applied mathematics with which researchers are concerned. All of the papers reviewed here contain interesting new ideas or applications, a deep synthesis of existing ideas, or any combination of these. The volume is intended to lead the user to important new research across all fields covered by MR.
Author: Jens Carsten Jantzen
Publisher: American Mathematical Soc.
ISBN: 082184377X
Category : Mathematics
Languages : en
Pages : 594
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Book Description
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.
