Algebraic operads / Jean-Louis Loday, Bruno Vallette

Auteur: Loday, Jean-Louis (1946-2012) - AuteurCo-auteur: Vallette, Bruno (1976-) - AuteurType de document: Livre numériqueCollection: Grundlehren der mathematischen wissenschaften ; 346Langue: anglaisÉditeur: Berlin : Springer, 2012 ISBN: 9783642303623 Note: ... The book does not cover all aspects of the theory of operads; for example cyclic and modular operads are only briefly mentioned. Nevertheless, it is an impressive piece of work, which gives a comprehensive account of the foundations of the theory of algebraic operads, starting from the most basic notions, such as associative algebras and modules. It will be of interest to a broad swath of mathematicians: from undergraduate students to experts in the field. (MathSciNet) Sujets MSC: 18D50 Category theory; homological algebra -- Categories with structure -- Operads
18G50 Category theory; homological algebra -- Homological algebra -- Nonabelian homological algebra
55P48 Algebraic topology -- Homotopy theory -- Loop space machines, operads
57T30 Manifolds and cell complexes -- Homology and homotopy of topological groups and related structures -- Bar and cobar constructions
16S37 Associative rings and algebras -- Rings and algebras arising under various constructions -- Quadratic and Koszul algebras
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... The book does not cover all aspects of the theory of operads; for example cyclic and modular operads are only briefly mentioned. Nevertheless, it is an impressive piece of work, which gives a comprehensive account of the foundations of the theory of algebraic operads, starting from the most basic notions, such as associative algebras and modules. It will be of interest to a broad swath of mathematicians: from undergraduate students to experts in the field. (MathSciNet)

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