Lie Groups and Symmetric Spaces: In Memory of F. I. Karpelevich (210)

by F.I. Karpelevich (Editor)

Twenty papers present and review recent results in symmetric spaces, the product formula for the Harish-Chandra c -function, and the theory of representation and other aspects of Lie groups. Two of the papers survey Karpelevich's (1927-2000) work on the boundaries of symmetric spaces and subalgebras of real semisimple Lie algebras. Other topics include the heat kernel on non-compact symmetric spaces, quantization of Alekseev-Meinrenken dynamical r -matrices, the dual horospherical Radon transform as a limit of spherical Radon transforms, a multiplicity one theorem in the orbit method, and a formal identity for affine root systems. The series was formerly titled "Advances in Soviet mathematics." Annotation (c) Book News, Inc., Portland, OR (booknews.com)

355 pages, Hardcover

First published October 1, 2003