Representation theory of groups and algebras / Jeffrey Adams [and five others], editors.

Format:

Book

Contributor:

Adams, Jeffrey, editor.

Series:

Contemporary mathematics (American Mathematical Society) ; 145.

Contemporary mathematics, 0271-4132 ; 145

Language:

English

Subjects (All):

Representations of groups.

Representations of algebras.

Physical Description:

1 online resource (506 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1993]

Language Note:

English

Summary:

Touching on virtually every important topic in modern representation theory, this book contains proceedings of the activities of the Representation Theory Group at the University of Maryland at College Park during the years 1989--1992. Covered here are the latest results in the field, providing a readable introduction to the work of some of the best young researchers in representation theory. The book spans a very broad spectrum---for example, within real representation theory, both semisimple and nonsemisimple analysis are discussed; within $C $-algebras, both geometric and nongeometric approaches are studied. In addition, the articles are exceptionally well written and range from research papers aimed at specialists to expository articles accessible to graduate students.

Contents:

""Contents""; ""Preface""; ""Part I. Keynote speakers""; ""The orbit method, I: Geometric quantization""; ""The orbit method, II: Infinite-dimensional Lie groups and Lie algebras""; ""Quantized differential forms in non-commutative topology and geometry""; ""I. Algebras of differential forms and quantized differential forms""; ""II. Quantized differential forms and bivariant K-theory""; ""III. Quantized differential forms and cyclic cohomology""; ""IV. Applications: Homotopy invariance, Morita invariance, etc.""; ""Novikov's conjecture on higher signatures: The operator K-theory approach""

""O(n)-spherical functions on Heisenberg groups""""Orbits, multiplicities and differential operators""; ""A simple approach to Dλ-modules""; ""Theta series and construction of automorphic forms""; ""An application of infinite dimensional Lie theory to semisimple Lie groups""; ""On the existence of homomorphisms between scalar generalized Verma modules""; ""Unitary representations on the Shilov boundary of a symmetric tube domain""; ""Characters, fixed points and Osborne's conjecture""; ""The local Langlands conjecture""; ""Part IV. C*-algebras""

""Representation theory of infinite dimensional unitary groups""""C* -algebras and applications""; ""I. C*-algebras (basic notions)""; ""II. C*-algebras associated with groups, dynamical systems and groupoids""; ""III. The C*-algebra of a foliated manifold""; ""IV. K-theory for C*-algebras""; ""V. Asymptotic homomorphisms and E-theory""; ""Are amenable C* -algebras classifiable?""; ""Spectra for group actions""; ""Higher McKean-Singer index formulae and non-commutative geometry""; ""Binary shifts on the hyperfinite II1 factor""; ""Compact quantum groups associated with toral subgroups""

Notes:

"Contains proceedings from activities ... during the years 1989-1992"--Pref.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7736-4