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From the reviews:
“The book is written for experts in several areas such as homological algebra, representation theory of Lie algebras and Hopf algebras. The theoretical results are proven with enough detail and with an eye towards specific applications in mind. … give an excellent overview of the whole book and its connections with the relevant results in the literature.” (Atabey Kaygun, Mathematical Reviews, Issue 2012 c)Homological Algebra of Semimodules and Semicontramodules
Semi-infinite Homological Algebra of Associative Algebraic Structures
von Leonid PositselskiIntended 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-geometric examples and applications Exotic derived categories, contramodules, semialgebras, infinite-dimensional Lie algebras, algebraic Harish-Chandra pairs, and locally compact totally disconnected topological groups all interplay in the theories developed in this monograph Includes supplementary material: sn. pub/extras
