Compact Lie groups
Author(s)
Bibliographic Information
Compact Lie groups
（Graduate texts in mathematics, 235）
Springer, c2007
- : softcover
Available at / 79 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
512.482/SE612080132821
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Note
"Softcover reprint of the hardcover 1st edition 2007"--T.p. verso of softcover
Includes bibliographical references (p. [187]-191) and index
Description and Table of Contents
Description
Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Coverage includes the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The book develops the necessary Lie algebra theory with a streamlined approach focusing on linear Lie groups.
Table of Contents
Compact Lie Groups.- Representations.- HarmoniC Analysis.- Lie Algebras.- Abelian Lie Subgroups and Structure.- Roots and Associated Structures.- Highest Weight Theory.
by "Nielsen BookData"