Lie groups beyond an introduction

書誌事項

Lie groups beyond an introduction

Anthony W. Knapp

(Progress in mathematics, v. 140)

Birkhäuser, c1996

  • : us
  • : gw

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注記

Includes bibliographical references (p. 585-594) and index

内容説明・目次

内容説明

Merging algebra and analysis, this text uses Lie-theoretic methods to develop a theory with wide applications in mathematics and physics. It aims to encourage the reader's understanding of Lie theory to evolve from beginner to expert. Topics include: the Cartan theory of complex semisimple Lie algebras; the Cartan-Weyl theory of the structure of representations of compact Lie groups; the classification of real semisimple Lie algebras; the structure theory of noncompact reductive Lie groups; and integration on reductive groups.

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