| 书目名称 | Lie Groups, Lie Algebras, and Representations | | 副标题 | An Elementary Introd | | 编辑 | Brian C. Hall | | 视频video | | | 概述 | New edition extensively revised and updated.Covers the core topics of Lie theory from an elementary point of view.Includes many new exercises | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | .This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject..In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:.a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras.motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;.C.).an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras.a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments.The second edition of .Lie Groups, Lie Algebras, and Representations. contains many substantial improvements and additions, amon | | 出版日期 | Textbook 2015Latest edition | | 关键词 | Baker-Campbell-Hausdorff formula; Cartan-Weyl theory; Lie algebras; Lie groups; representation theory | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-319-13467-3 | | isbn_softcover | 978-3-319-37433-8 | | isbn_ebook | 978-3-319-13467-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer International Publishing Switzerland 2015 |
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发表于 2025-3-21 19:03:25
