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The Langlands Classification and Irreducible Characters for Real Reductive Groups

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;

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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107

field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups.;

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Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118

. The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.;

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Ottawa Lectures on Admissible Representations of Reductive P-adic Groups

theory of p-adic groups: the classification and construction of their (complex) admissible representations, the calculation of their characters;

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Classification of Pseudo-reductive Groups (AM-191)

-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an;

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Classification of Pseudo-reductive Groups (AM-191)

-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an;

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Representations of Reductive Groups

character formula for irreducible representations in prime characteristic. The articles are carefully designed to reinforce one another, and are;

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Pseudo-reductive Groups

important applications. This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification;

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Cohomological Induction and Unitary Representations (PMS-45), Volume 45

This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary;

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Shimura Varieties

representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate;

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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

The book by Borel and Wallach is a classic treatment of the use of cohomology in representation theory, particularly in the setting;

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Geometric Aspects of the Trace Formula

field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and;

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The Endoscopic Classification of Representations

of another. In this book, Arthur establishes an endoscopic classification of automorphic representations of orthogonal and symplectic groups G. The;

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D-Modules and Spherical Representations. (MN-39)

, the author derives a criterion for irreducibility. The relation between multiplicities and singularities is also discussed at length;

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Descent Map From Automorphic Representations Of Gl(n) To Classical Groups, The

of this automorphic descent, with complete, detailed proofs. The book will be of interest to graduate students and mathematicians, who specialize;

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The Local Langlands Conjecture for GL(2)

The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research;

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Character Theory of Finite Groups

classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the;

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Elements of the Representation Theory of the Jacobi Group

text gathers for the first time material from the representation theory of this group in both local (archimedean and non-archimedean) cases and;

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Langlands Correspondence for Loop Groups

open problems which could form the basis for future research, and is accessible to advanced undergraduate students and beginning graduate;

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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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Symmetry Breaking for Representations of Rank One Orthogonal Groups II

forms, this work includes a proof for a multiplicity conjecture by Gross and Prasad for tempered principal series representations in the case;

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Character Theory of Finite Groups

preliminaries. Chapters 2 to 6 and 8 contain the basic material of character theory, while Chapter 7 treats an important technique for the application;

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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120

is known as the base change problem for GL(n).) The problem is attacked and solved by means of the trace formula. The book relies on deep and;

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Projective Representations And Spin Characters Of Complex Reflection Groups G(m,p,n) And G(m,p, )

paper [E] collects introductory expositions, with a historical plotting, for the theory of projective representations of groups and their;

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Irreducible Characters of the Special Linear Group

This book covers the construction of irreducible characters of the 2 by 2 and 3 by 3 special linear group over the integers modulo a power;

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Spectral Decomposition And Eisenstein Series

The decomposition of the space L2(G(Q)\\G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep;

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Spectral Decomposition And Eisenstein Series

The decomposition of the space L2(G(Q)\\G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep;

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