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.
發表於2024-12-28
Compact Lie Groups 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 錶示論 學術讀物 Lie Group Graduate.Texts.in.Mathematics
Quick and handy! Typo略多,似乎最後的Bott-Borel-Weil敘述不太對?
評分Quick and handy! Typo略多,似乎最後的Bott-Borel-Weil敘述不太對?
評分Quick and handy! Typo略多,似乎最後的Bott-Borel-Weil敘述不太對?
評分Quick and handy! Typo略多,似乎最後的Bott-Borel-Weil敘述不太對?
評分Quick and handy! Typo略多,似乎最後的Bott-Borel-Weil敘述不太對?
Compact Lie Groups 2024 pdf epub mobi 電子書 下載