| 书目名称 | Representation Theory | | 副标题 | A Homological Algebr | | 编辑 | Alexander Zimmermann | | 视频video | | | 概述 | Provides full proofs of key statements in the modular representation theory of groups.Contains a coherent treatment and full proofs of the main results on equivalences between derived categories.Intro | | 丛书名称 | Algebra and Applications | | 图书封面 |  | | 描述 | .Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field..Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given – such as the structure of blocks of cyclic defect groups – whenever appropriate. Overall, many methods from the representation theory of algebras are introduced..Representation Theory. assumes only the most basic knowledge of linear algebra, groups, rings and fields and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessibl | | 出版日期 | Book 2014 | | 关键词 | Blocks of Group Algebras; Broué‘s Abelian Defect Conjecture; Derived Category; Modular Representation T | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-07968-4 | | isbn_softcover | 978-3-319-35261-9 | | isbn_ebook | 978-3-319-07968-4Series ISSN 1572-5553 Series E-ISSN 2192-2950 | | issn_series | 1572-5553 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 16:50:25
