Lie Groups: Structure, Actions, and Representations

Preface.- 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 Maaß 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.