| 書(shū)目名稱 | Compact Lie Groups | | 編輯 | Mark R. Sepanski | | 視頻video | http://file.papertrans.cn/231/230784/230784.mp4 | | 概述 | Provides an approach that minimizes advanced prerequisites.Self-contained and systematic exposition requiring no previous exposure to Lie theory.Advances quickly to the Peter-Weyl Theorem and its corr | | 叢書(shū)名稱 | Graduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | .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. Included is 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 necessary Lie algebra theory is also developed in the text with a streamlined approach focusing on linear Lie groups...Key Features are: - Provides an approach that minimizes advanced prerequisites; - Self-contained and systematic exposition requiring no previous exposure to Lie theory; -Advances quickly to the Peter-Weyl Theorem and its corresponding Fourier theory; - Streamlined Lie algebra discussion reduces the differential geometry prerequisite and allows a more rapid transition to the classification and construction of representations - Exercises sprinkled throughout...This beginning graduate lev | | 出版日期 | Textbook 2007 | | 關(guān)鍵詞 | Group theory; Lie algebra; Representation theory; algebra; calculus; differential geometry; manifold; maxim | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-49158-5 | | isbn_softcover | 978-1-4419-2138-3 | | isbn_ebook | 978-0-387-49158-5Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York 2007 |
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