Author: Marc Cabanes
Publisher: Springer Science & Business Media
ISBN: 9780817638856
Category : Mathematics
Languages : en
Pages : 468
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.
Finite Reductive Groups: Related Structures and Representations
Author: Marc Cabanes
Publisher: Springer Science & Business Media
ISBN: 9780817638856
Category : Mathematics
Languages : en
Pages : 468
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.
Publisher: Springer Science & Business Media
ISBN: 9780817638856
Category : Mathematics
Languages : en
Pages : 468
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.
Finite Reductive Groups: Related Structures and Representations
Author: Marc Cabanes
Publisher: Springer Science & Business Media
ISBN: 1461241243
Category : Mathematics
Languages : en
Pages : 455
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.
Publisher: Springer Science & Business Media
ISBN: 1461241243
Category : Mathematics
Languages : en
Pages : 455
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.
Finite Reductive Groups
Author: Marc Cabanes
Publisher:
ISBN: 9781461241256
Category :
Languages : en
Pages : 468
Book Description
Publisher:
ISBN: 9781461241256
Category :
Languages : en
Pages : 468
Book Description
Representation Theory of Finite Reductive Groups
Author: Marc Cabanes
Publisher: Cambridge University Press
ISBN: 0521825172
Category : Mathematics
Languages : en
Pages : 457
Book Description
Publisher Description
Publisher: Cambridge University Press
ISBN: 0521825172
Category : Mathematics
Languages : en
Pages : 457
Book Description
Publisher Description
Representations of Reductive Groups
Author: Roger W. Carter
Publisher: Cambridge University Press
ISBN: 0521643252
Category : Mathematics
Languages : en
Pages : 203
Book Description
This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
Publisher: Cambridge University Press
ISBN: 0521643252
Category : Mathematics
Languages : en
Pages : 203
Book Description
This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107
Author: George Lusztig
Publisher: Princeton University Press
ISBN: 1400881773
Category : Mathematics
Languages : en
Pages : 408
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.
Publisher: Princeton University Press
ISBN: 1400881773
Category : Mathematics
Languages : en
Pages : 408
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.
Characters of Reductive Groups Over a Finite Field
Author: George Lusztig
Publisher:
ISBN: 9780691083506
Category : Mathematics
Languages : en
Pages : 384
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.
Publisher:
ISBN: 9780691083506
Category : Mathematics
Languages : en
Pages : 384
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.
Representations of Algebraic Groups
Author: Jens Carsten Jantzen
Publisher: American Mathematical Soc.
ISBN: 082184377X
Category : Mathematics
Languages : en
Pages : 594
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.
Publisher: American Mathematical Soc.
ISBN: 082184377X
Category : Mathematics
Languages : en
Pages : 594
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.
Modular Representations of Finite Groups of Lie Type
Author: James E. Humphreys
Publisher: Cambridge University Press
ISBN: 9780521674546
Category : Mathematics
Languages : en
Pages : 260
Book Description
A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Publisher: Cambridge University Press
ISBN: 9780521674546
Category : Mathematics
Languages : en
Pages : 260
Book Description
A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
The Character Theory of Finite Groups of Lie Type
Author: Meinolf Geck
Publisher: Cambridge University Press
ISBN: 1108808905
Category : Mathematics
Languages : en
Pages : 406
Book Description
Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne–Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish–Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.
Publisher: Cambridge University Press
ISBN: 1108808905
Category : Mathematics
Languages : en
Pages : 406
Book Description
Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne–Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish–Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.