Algebraic and Analytic Methods in Representation Theory

Algebraic and Analytic Methods in Representation Theory

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Description

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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Product details

  • Hardback | 360 pages
  • 156 x 235 x 22mm | 649g
  • Academic Press Inc
  • San Diego, United States
  • English
  • b&w illustrations
  • 0126254400
  • 9780126254402

Table of contents

Modular representations of algebraic groups and relations to quantum groups, H.A. Anderson; orbital varieties, goldie rank polynomials and unitary highest weight modules, A. Joseph; discontinuous groups and Clifford-Klein forms of pseudo-Riemannian homogenous manifolds, T. Kobayashi; the method of stationary phase and applications to geometry and analysis on Lie groups, V.S. Varadarajan; the orbit method and unitary representations for reductive Lie groups, D.A. Vogan Jr.
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