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Compact Lie Groups

By: Mark R. Sepanski

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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.

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Page Count

208

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387491589

ISBN 13

9780387491585

Algebra

By: Mark Roger Sepanski

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Algebra

By: Mark Roger Sepanski

Provides an introduction to the world of modern algebra. Beginning with concrete examples from the study of integers and modular arithmetic, the text steadily familiarises the reader with greater levels of abstraction as it moves through the study of groups, rings, and fields. The book is equipped with over 750 exercises suitable for many levels of student ability.

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Page Count

273

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821852949

ISBN 13

9780821852941

Book's by Mark R. Sepanski

Compact Lie Groups

Compact Lie Groups

Algebra

Algebra

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