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Lectures on Lie groups / W Y Hsiang.

By: Material type: TextLanguage: English Series: Series on university mathematics ; vol. 2Publication details: Singapore : World Scientific, c2000.Description: v, 108 p. : ill. ; 23 cmISBN:
  • 9789810235291
Subject(s): DDC classification:
  • 512.55 21 HSI
Contents:
Lecture 1 Linear Groups and Linear Representations Lecture 2 Lie Groups Lie Algebras Lecture 3 Orbital Geometry of the Adjoint Action Lecture 4 Coxter Groups, Weyl Reduction and Weyl Formulas Lecture 5 Structural Theory of Compact Lie Algebras Lecture 6 Classification Theory of Compact Lie Algebras and Compact Connected Lie Groups
Summary: This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints
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General Books CUTN Central Library Sciences Non-fiction 512.55 HSI (Browse shelf(Opens below)) Available 43621

Lecture 1 Linear Groups and Linear Representations Lecture 2 Lie Groups Lie Algebras Lecture 3 Orbital Geometry of the Adjoint Action Lecture 4 Coxter Groups, Weyl Reduction and Weyl Formulas Lecture 5 Structural Theory of Compact Lie Algebras Lecture 6 Classification Theory of Compact Lie Algebras and Compact Connected Lie Groups

This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints

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