At the crossroads of representation theory, algebraic geometry and finite group theory, this book brings together many of the main concerns of modern algebra, synthesizing the past twenty-five years of research, by including some of the most remarkable achievements in the field. The text is illustrated throughout by many examples, and background material is provided by several introductory chapters on basic results as well as appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and a reference for all algebraists.
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'This monograph treats the representation theory of finite reductive groups mostly in transversal characteristic, i.e. in a characteristic that differs from the natural characteristic p of the group.' Zentralblatt MATH
Book Description
At the crossroads of representation theory, algebraic geometry and finite group theory, this book blends together many of the main concerns of modern algebra, synthesising the past 25 years of research, with full proofs of some of the most remarkable achievements in the area. Throughout the text is illustrated by many examples and background i s provided by several introductory chapters on basic results and appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and reference for all algebraists.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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First Sentence:
The main functors in representation theory of finite groups are the restriction to subgroups and its adjoint, called induction. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
unipotent characters, unipotent blocks, smooth divisor with normal crossings, twisted induction, maximal subpair, finite group endowed, finite reductive groups, cuspidal unipotent character, block idempotent, unipotent component, connected reductive group, diagonal torus, root datum, linear primes, projective indecomposable modules, transversal characteristics, character sheaves, spinor norm, simplicial scheme, locally constant sheaves, splitting system, locally ringed spaces, indecomposable direct summands, open immersion, degenerate symbols Key Phrases - Capitalized Phrases (CAPs): (learn more)
F-stable Levi, F-stable Borel, Show Theorem, Deduce Theorem, I-split Levi, Modular Hecke, Word Lemma New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
The main functors in representation theory of finite groups are the restriction to subgroups and its adjoint, called induction. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
unipotent characters, unipotent blocks, smooth divisor with normal crossings, twisted induction, maximal subpair, finite group endowed, finite reductive groups, cuspidal unipotent character, block idempotent, unipotent component, connected reductive group, diagonal torus, root datum, linear primes, projective indecomposable modules, transversal characteristics, character sheaves, spinor norm, simplicial scheme, locally constant sheaves, splitting system, locally ringed spaces, indecomposable direct summands, open immersion, degenerate symbols Key Phrases - Capitalized Phrases (CAPs): (learn more)
F-stable Levi, F-stable Borel, Show Theorem, Deduce Theorem, I-split Levi, Modular Hecke, Word Lemma New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 34
books:
See all 34 books this book cites
1
book
cites this book:
- Linear Algebraic Groups (Progress in Mathematics) by T.A. Springer in Back Matter (1), Back Matter (2), and Back Matter (3)
- Linear Algebraic Groups (Graduate Texts in Mathematics) by Armand Borel in Back Matter (1), and Back Matter (2)
- Introduction To Commutative Algebra by Michael Atiyah in Back Matter
- Representations of Finite Groups by Hirosi Nagao in Back Matter
- Representations and Cohomology: Volume 2, Cohomology of Groups and Modules (Cambridge Studies in Advanced Mathematics) by D. J. Benson in Back Matter
See all 34 books this book cites
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