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Modular Representations of Finite Groups of Lie Type

Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively;

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Representations of Finite Groups of Lie Type

On its original publication, this book provided the first elementary treatment of representation theory of finite groups of Lie type;

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Representations of Finite Groups of Lie Type

On its original publication, this book provided the first elementary treatment of representation theory of finite groups of Lie type;

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Groups of Lie Type and their Geometries

Presented here are papers from the 1993 Como meeting on groups of Lie type and their geometries. The meeting was attended by many leading;

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Simple Groups of Lie Type

Now available in paperback--the standard introduction to the theory of simple groups of Lie type. In 1955, Chevalley showed how to;

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The Character Theory of Finite Groups of Lie Type

Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive;

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Expansion in Finite Simple Groups of Lie Type

, with additional sections on the general theory of expanders, spectral theory, Lie theory, and the Lang-Weil bound, as well as numerous;

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Groups, Combinatorics and Geometry

geometric methods in group theory; geometries and related groups; finite and algebraic groups of Lie type; finite permutation groups; further;

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Introduction to Finite and Infinite Dimensional Lie (Super)algebras

string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their;

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Theory Of Groups And Symmetries

This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie;

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Lectures on Buildings

to the field. Lectures on Buildings will find a grateful audience among those doing research or teaching courses on Lie-type groups, on;

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Lie Groups Lie Algebras and Representations

prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and;

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Iwahori-Hecke Algebras and their Representation Theory

theory of finite groups of Lie type. This volume consists of notes of the courses on Iwahori-Hecke algebras and their representation theory;

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Cambridge Studies in Advanced Mathematics

mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory;

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Representations of Reductive Groups

The representation theory of reductive algebraic groups and related finite reductive groups is a subject of great topical interest and has;

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Complex Semisimple Quantum Groups and Representation Theory

This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations;

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Characters And Blocks Of Finite Groups

, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed;

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On Non-Generic Finite Subgroups of Exceptional Algebraic Groups

subgroup of $G$ has a socle which is not isomorphic to a group of Lie type in the underlying characteristic of $G$, then the subgroup is called non;

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Algebra - Representation Theory

Over the last three decades representation theory of groups, Lie algebras and associative algebras has undergone a rapid development;

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London Mathematical Society Lecture Note Series

is suitable for graduate students and researchers working in the fields of group theory and Lie rings.;

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Lie Groups and Lie Algebras

From the reviews of the French edition: This is a rich and useful volume. The material it treats has relevance well beyond the theory;

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Perturbation Methods

of Lie Type: Conjugacy Classes and Complex Characters R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental;

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Finite and Locally Finite Groups

in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the;

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Representations of Solvable Lie Groups

The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction;

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Quantization on Nilpotent Lie Groups

This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie;

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Quantization on Nilpotent Lie Groups

This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie;

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Cambridge Studies in Advanced Mathematics

advantage of the theory developed in Part I, it is possible to define these, and derive all the main results of p-adic Lie theory, without having to;

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