ENGLISH

Compact Lie Groups

By Mark R. Sepanski

Book information

Publisher
Springer
Year
2006
ISBN
2006937104, 0387302638, 9780387302638, 0387491589, 9780387491585
Language
english
Format
PDF
Filesize
2 MB (2212083 bytes)
Series
Graduate Texts in Mathematics 235
Pages
201\207
Time added
2023-02-23 10:20:55

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. This beginning graduate level text, aimed primarily at Lie Groups courses and related topics, assumes familiarity with elementary concepts from group theory, analysis, and manifold theory. Students, research mathematicians, and physicists interested in Lie theory will find this text very useful.

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