Lie Groups: Structure, Actions, and Representations In Honor of Joseph A. Wolf on the Occasion of His 75th Birthday.

Format:

Book

Contributor:

Huckleberry, Alan T.

Penkov, Ivan.

Zuckerman, Gregg.

Language:

English

Subjects (All):

Wolf, Joseph Albert.

Lie groups.

Harmonic analysis.

Linear topological spaces.

Symmetric spaces.

Mathematics.

Topological Groups, Lie Groups.

Associative Rings and Algebras.

Functional Analysis.

Local Subjects:

Wolf, Joseph Albert.

Mathematics.

Topological Groups, Lie Groups.

Associative Rings and Algebras.

Functional Analysis.

Physical Description:

pages ; cm

Place of Publication:

[Place of publication not identified] : Birkhauser, 2013.

Summary:

Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf's broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis.

Contents:

Real group orbits on flag manifolds

Complex connections with trivial holonomy

Indefinite harmonic theory and harmonic spinors

Twistor theory and the harmonic hull

Nilpotent Gelfand pairs and spherical transforms of Schwartz functions, II: Taylor expansions on singular sets

Propagation of the multiplicity-freeness property for holomorphic vector bundles

Poisson transforms for line bundles from the Shilov boundary to bounded symmetric domains

Cent(U(n)), cascade of orthogonal roots, and a construction of Lipsman Wolf

Weakly harmonic Maa forms and the principal series for SL(2,R)

Holomorphic realization of unitary representations of Banach-Lie groups

The Segal Bargmann transform on compact symmetric spaces and their direct limits

Analysis on flag manifolds and Sobolev inequalities

Boundary value problems on Riemannian symmetric spaces of noncompact type

One step spherical functions of the pair (SU(n + 1), U(n))

Chern Weil theory for certain infinite-dimensional Lie groups

On the structure of finite groups with periodic cohomology.

Notes:

Includes bibliographical references.

ISBN:

9781461471929

1461471923

OCLC:

828488025