Lie Groups Structure Actions and Representations In Honor of Joseph A Wolf on the Occasion of his 75th Birthday 1st Edition by Alan Huckleberry, Ivan Penkov, Gregg Zuckerman 9781461471936 1461471931
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Product details:
ISBN 10: 1461471931
ISBN 13: 9781461471936
Author: Alan Huckleberry, Ivan Penkov, Gregg Zuckerman
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.
Table of contents:
Chapter 1: Real Group Orbits on Flag Manifolds
Chapter 2: Complex Connections with Trivial Holonomy
Chapter 3: Indefinite Harmonic Theory and Harmonic Spinors
Chapter 4: Twistor Theory and the Harmonic Hull
Chapter 5: Nilpotent Gelfand Pairs and Spherical Transforms of Schwartz Functions II: Taylor Expansions on Singular Sets
Chapter 6: Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles
Chapter 7: Poisson Transforms for Line Bundles from the Shilov Boundary to Bounded Symmetric Domains
Chapter 8: Center U(n), Cascade of Orthogonal Roots, and a Construction of Lipsman–Wolf
Chapter 9: Weak Harmonic Maaß Forms and the Principal Series for
Chapter 10: Holomorphic Realization of Unitary Representations of Banach–Lie Groups
Chapter 11: The Segal–Bargmann Transform on Compact Symmetric Spaces and Their Direct Limits
Chapter 12: Analysis on Flag Manifolds and Sobolev Inequalities
Chapter 13: Boundary Value Problems on Riemannian Symmetric Spaces of the Noncompact Type
Chapter 14: One-Step Spherical Functions of the Pair (SU(n+1), U(n))
Chapter 15: Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups
Chapter 16: On the Structure of Finite Groups with Periodic Cohomology
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Tags: Alan Huckleberry, Ivan Penkov, Gregg Zuckerman, Groups