Compact Lie Groups

• Corporate Author: SpringerLink (Online service)
• Other Authors: Sepanski, Mark R. (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2007.
• Series: Graduate Texts in Mathematics, 235
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Matrix theory.; Algebra.; Topological groups.; Lie groups.; Mathematical analysis.; Analysis (Mathematics).; Differential geometry.; Topological Groups, Lie Groups.; Linear and Multilinear Algebras, Matrix Theory.; Associative Rings and Algebras.; Differential Geometry.; Analysis.

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...

Table of Contents:

• Compact Lie Groups
• Representations
• HarmoniC Analysis
• Lie Algebras
• Abelian Lie Subgroups and Structure
• Roots and Associated Structures
• Highest Weight Theory.