| 書目名稱 | Lie Groups | | 編輯 | Daniel Bump | | 視頻video | http://file.papertrans.cn/586/585693/585693.mp4 | | 概述 | New edition extensively revised and updated.Includes new material on random matrix theory, such as the Keating-Snaith formula.Contains material on the use of Sage for Lie group problems.Includes more | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | .This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provides a carefully chosen range of material to give the student the bigger picture. The book is organized to allow different paths through the material depending on one‘s interests.?This second edition has substantial new material, including improved discussions of underlying principles, streamlining of some proofs, and many results and topics that were not in the first edition..For compact Lie groups, the book covers the Peter–Weyl theorem, Lie algebra, conjugacy of maximal tori, the Weyl group, roots and weights, Weyl character formula, the fundamental group and more. The book continues with the study of complex analytic groups and general noncompact Lie groups, covering the Bruhat decomposition, Coxeter groups, flag varieties, symmetric spaces, Satake diagrams, embeddings of Lie groups and spin. Other topics that are treated are symmetric function theory, the representation theory of the symmetric group, Frobenius–Schur duality and GL(.n.)?×?GL(.m.) duality with many applications includ | | 出版日期 | Textbook 2013Latest edition | | 關鍵詞 | Frobenius-Schur duality; Keating-Snaith formula; Lie algebras; Lie groups; complex analytic groups; conju | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4614-8024-2 | | isbn_softcover | 978-1-4939-3842-1 | | isbn_ebook | 978-1-4614-8024-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 2013 |
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