Lie groups : structure, actions, and representations : in honor of Joseph A. Wolf on the occasion of his 75th birthday
 Language
 English.
 Imprint
 New York : Birkhäuser, c2013.
 Physical description
 xiv, 413 p. ; 24 cm.
 Series
 Progress in mathematics (Boston, Mass.) ; v. 306.
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Available online

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QA387 .L525 2013

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QA387 .L525 2013
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 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 multiplicityfreeness 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 BanachLie 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 infinitedimensional Lie groups
 On the structure of finite groups with periodic cohomology.
 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 infinitedimensional 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.
Bibliographic information
 Publication date
 2013
 Responsibility
 Alan Huckleberry, Ivan Penkov, Gregg Zuckerman, editors.
 Series
 Progress in mathematics ; v. 306
 ISBN
 9781461471929
 1461471923
 9781461471936
 1461471931