| 書(shū)目名稱 | Homological Algebra of Semimodules and Semicontramodules | | 副標(biāo)題 | Semi-infinite Homolo | | 編輯 | Leonid Positselski | | 視頻video | http://file.papertrans.cn/429/428135/428135.mp4 | | 概述 | Intended as a definitive treatment of the subject of semi-infinite homology and cohomology of associative algebraic structures, this book contains also rich representation-theoretic and algebro-geomet | | 叢書(shū)名稱 | Monografie Matematyczne | | 圖書(shū)封面 |  | | 描述 | This monograph deals with semi-infinite homological algebra. Intended as the definitive treatment of the subject of semi-infinite homology and cohomology of associative algebraic structures, it also contains material on the semi-infinite (co)homology of Lie algebras and topological groups, the derived comodule-contramodule correspondence, its application to the duality between representations of infinite-dimensional Lie algebras with complementary central charges, and relative non-homogeneous Koszul duality. The book explains with great clarity what the associative version of semi-infinite cohomology is, why it exists, and for what kind of objects it is defined. Semialgebras, contramodules, exotic derived categories, Tate Lie algebras, algebraic Harish-Chandra pairs, and locally compact totally disconnected topological groups all interplay in the theories developed in this monograph. Contramodules, introduced originally by Eilenberg and Moore in the 1960s but almost forgotten for four decades, are featured prominently in this book, with many versions of them introduced and discussed. Rich in new ideas on homological algebra and the theory of corings and their analogues, this book a | | 出版日期 | Book 2010 | | 關(guān)鍵詞 | Algebraic structure; Category theory; Cohomology; Functoriality; Homological algebra; Koszul duality; Semi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0346-0436-9 | | isbn_softcover | 978-3-0348-0313-7 | | isbn_ebook | 978-3-0346-0436-9Series ISSN 0077-0507 Series E-ISSN 2297-0274 | | issn_series | 0077-0507 | | copyright | Birkh?user Basel 2010 |
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