Lie Theory

Unitary Representations and Compactifications of Symmetric Spaces
2005. Auflage 2004
ISBN: 978-0-8176-3526-8
Verlag: Birkhauser Boston

Buch, Englisch, Band 229, 207 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 476 g

Reihe: Progress in Mathematics

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title , feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.

, 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. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups and symmetric spaces is required of the reader.

Zielgruppe

Research

Autoren/Hrsg.

Anker, Jean-Philippe

Orsted, Bent

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

to Symmetric Spaces and Their Compactifications.- Compactifications of Symmetric and Locally Symmetric Spaces.- Restrictions of Unitary Representations of Real Reductive Groups.