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.
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.
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.