By Mark R. Sepanski
Blending algebra, research, and topology, the examine of compact Lie teams is likely one of the most lovely parts of arithmetic and a key stepping stone to the speculation of normal Lie teams. Assuming no earlier wisdom of Lie teams, this ebook covers the constitution and illustration idea of compact Lie teams. assurance comprises the development of the Spin teams, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and personality formulation, the top Weight type, and the Borel-Weil Theorem. The ebook develops the mandatory Lie algebra concept with a streamlined method targeting linear Lie groups.
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Compact Lie Groups: 235 (Graduate Texts in Mathematics) by Mark R. Sepanski