Representations of Reductive Groups [Hardcover]

This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.The representation theory of reductive algebraic groups and related finite reductive groups is a subject of great topical interest. The articles in this volume provide introductions to various aspects of the subject and are carefully designed to reinforce one another. The contributions come from a team of distinguished authors: M. Broué, R. W. Carter, S. Donkin, M. Geck, J. C. Jantzen, B. Keller, M. W. Liebeck, G. Malle, J. C. Rickard and R. Rouquier. This volume as a whole should provide a very accessible introduction to an important subject.The representation theory of reductive algebraic groups and related finite reductive groups is a subject of great topical interest. The articles in this volume provide introductions to various aspects of the subject and are carefully designed to reinforce one another. The contributions come from a team of distinguished authors: M. Broué, R. W. Carter, S. Donkin, M. Geck, J. C. Jantzen, B. Keller, M. W. Liebeck, G. Malle, J. C. Rickard and R. Rouquier. This volume as a whole should provide a very accessible introduction to an important subject.The representation theory of reductive algebraic groups and related finite reductive groups has many applications. The articles in this volume provide introductions to various aspects of the subject, including algebraic groups and Lie algebras, reflection groups, abelian and derived categories, the Deligne-Lusztig representation theory of finite reductive groups, Harish-Chandra theory and its generalizations, quantum groups, subgroup structure of algebraic groups, intersection cohomology, and Lusztig's conjectured character formula for irreducible representations in prime characteristic. The articles are carefully designed to reinforce one another, and are written by a team of distinguished authors: M. Broué, R. W. Carter, S. Donkin, M. Geck, J. C. Jantzlº