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Algebraic and Analytic Methods in Representation Theory
Algebraic and Analytic Methods in Representation Theory
Date: 27 April 2011, 07:08

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Representational theory for reductive groups is central to much of mathematics and mathematical analysis. The methods employed are algebraic as well as analytic in nature, and the subject requires a broad knowledge. In this book, introductions are given to five perspectives in reduction groups: modular representations of algebraic groups and relations to quantum groups; orbital varieties, goldie rank polynomials and unitary highest weight modules; discontinuous groups and Clifford-Klein forms of pseudo-Riemannian homogenous manifolds; the method of stationary phase and applications to geometry and analysis on Lie groups; and the orbit method and unitary representations for reductive Lie groups.

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