书目名称 | Symmetry, Representations, and Invariants | 编辑 | Roe Goodman,Nolan R. Wallach | 视频video | | 概述 | Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus.Applications to geometry (curvature tensors | 丛书名称 | Graduate Texts in Mathematics | 图书封面 |  | 描述 | .Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, .Symmetry, Representations, and Invariants. is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications...The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case...Key Features of .Symmetry, Representations, and Invariants.: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geome | 出版日期 | Textbook 2009 | 关键词 | Abstract algebra; Group theory; Matrix; Multilinear Algebra; Representation theory; algebra; linear algebr | 版次 | 1 | doi | https://doi.org/10.1007/978-0-387-79852-3 | isbn_softcover | 978-1-4419-2729-3 | isbn_ebook | 978-0-387-79852-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | issn_series | 0072-5285 | copyright | Springer-Verlag New York 2009 |
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