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Title Lie groups : structure, actions, and representations : in honor of Joseph A. Wolf on the occasion of his 75th birthday / Alan Huckleberry, Ivan Penkov, Gregg Zuckerman, editors
Published New York, NY : Birkhäuser, 2013

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Description 1 online resource (xiv, 413 pages) : color illustrations
Series Progress in mathematics ; v. 306
Progress in mathematics (Boston, Mass.) ; v. 306.
Contents Real Group Orbits on Flag Manifolds / Dmitri Akhiezer -- Complex Connections with Trivial Holonomy / Adrian Andrada, Maria Laura Barberis -- Indefinite Harmonic Theory and Harmonic Spinors / Leticia Barchini, Roger Zierau -- Twistor Theory and the Harmonic Hull / Michael Eastwood, Feng Xu -- Nilpotent Gelfand Pairs and Spherical Transforms of Schwartz Functions II: Taylor Expansions on Singular Sets / Véronique Fischer, Fulvio Ricci -- Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles / Toshiyuki Kobayashi -- Poisson Transforms for Line Bundles from the Shilov Boundary to Bounded Symmetric Domains / Adam Korányi -- Center U(n), Cascade of Orthogonal Roots, and a Construction of Lipsman-Wolf / Bertram Kostant -- Weak Harmonic Maaß Forms and the Principal Series for SL(2,R) / Peter Kostelec, Stephanie Treneer -- Holomorphic Realization of Unitary Representations of Banach-Lie Groups / Karl-Hermann Neeb -- The Segal-Bargmann Transform on Compact Symmetric Spaces and Their Direct Limits / Gestur Ólafsson, Keng Wiboonton -- Analysis on Flag Manifolds and Sobolev Inequalities / Bent Ørsted -- Boundary Value Problems on Riemannian Symmetric Spaces of the Noncompact Type / Toshio Oshima, Nobukazu Shimeno -- One-Step Spherical Functions of the Pair (SU(n+1), U(n)) / Inés Pacharoni, Juan Tirao -- Chern-Weil Theory for Certain Infinite-Dimensional Lie Groups / Steven Rosenberg -- On the Structure of Finite Groups with Periodic Cohomology / C.T.C. Wall
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
Analysis wiskunde
mathematics
ringen (wiskunde)
rings
algebra
functionaalanalyse
functional analysis
Mathematics (General)
Wiskunde (algemeen)
Bibliography Includes bibliographical references
Notes English
Online resource; title from PDF title page (SpringerLink, viewed August 20, 2013)
Subject Lie groups.
MATHEMATICS -- Algebra -- Intermediate.
Grupos de Lie
Lie groups
Genre/Form Festschriften
Festschriften.
Form Electronic book
Author Huckleberry, Alan T., editor
Penkov, Ivan B. (Ivan Boyanov), 1957- editor.
Zuckerman, Gregg, editor
Wolf, Joseph Albert, 1936- honouree.
ISBN 9781461471936
1461471931
1461471923
9781461471929