BOOK
Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces
This volume presents two major topics in Lie theory: compactifications of Riemannian symmetric spaces and the branching laws of unitary representations. It explores various geometric compactifications (e.g., Satake, Furstenberg) and their applications, alongside an in-depth study of how unitary representations of semisimple Lie groups decompose when restricted to subgroups. Aimed at advanced graduate students and researchers, the book provides a geometric and representation-theoretic perspective on symmetric spaces.
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