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 gr…