Beschreibung:
This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics. Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Geometric and Analytic Methods volume.
Group gradings on Lie algebras and applications to geometry. II (Y. Bahturin, M. Goze, E. Remm).- Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry (P. Bieliavsky, V. Gayral, A. de Goursac, F. Spinnler).- The radon transform and its dual for limits of symmetric spaces (J. Hilgert, G. Ólafsson).- Cycle Connectivity and Automorphism Groups of Flag Domains (A. Huckleberry).- Shintani functions, real spherical manifolds, and symmetry breaking operators (T. Kobayashi).- Harmonic spinors on reductive homogeneous spaces (S. Mehdi, R. Zierau).- Twisted Harish-Chandra sheaves and Whittaker modules: The nondegenerate case (D. Milicic, W. Soergel).- Unitary representations of unitary groups (K.-H. Neeb).- Weak splitting of quotients of Drinfeld and Heisenberg doubles (M. Yakimov).