Lie Theory
Subtitle: Unitary Representations and Compactifications of Symmetric Spaces (Progress in Mathematics)
Contributors: Jean-Philippe Anker (Editor); Bent Orsted (Editor)
Edition: 1 edition
Publisher: Birkhäuser Boston
Published: December 15, 2004
Language: eng
Format: Hardcover
Number of pages: 207
ISBN-13: 9780817635268
Subjects: Linear algebra; Mathematics; Lie groups; Science/Mathematics; Symmetric spaces; Number Theory; Geometry - Differential; Group Theory; Mathematics / Group Theory; Mathematical Analysis; Lie theory
First sentence: Symmetrie spaces form an important class of Riemannian manifolds and arise in many fields through their relations to Lie groups.
Description: Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A. Borel, L. Ji, and T. Kobayashi, focuses on two fundamental questions in the theory of semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications: and branching laws for unitary representations, i.e., restricting unitary representations to (typically, but not exclusively, symmetric) subgroups and decomposing the ensuing representations into irreducibles.