Progress in Mathematics: Unitary Representations and Compactifications of Symmetric Spaces

Anker, Jean-Philippe; Orsted, Bent

Lie Theory: 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.

Ji's introductory chapter motivates the subject of symmetric spaces and their compactifications with carefully selected examples and provides a good background for the second chapter, namely, the Borel–Ji authoritative treatment of various types of compactifications useful for studying symmetric and locally symmetric spaces. Kobayashi examines the important subject of branching laws.

Details

Published by: Birkhäuser

Publication Date: 2004-12-15

Format: Hardcover

ISBN-13: 9780817635268

DOI: 10.1007/b139076

Dimensions: 235cm x155cm

Pages: 207