| 期刊全称 | Algebraic Operads | | 影响因子2023 | Jean-Louis Loday,Bruno Vallette | | 视频video | | | 发行地址 | Being the first book on algebraic operads, will be used as a reference work in this field.Each chapter contains a list of exercises and a résumé.A new and conceptual presentation of the Koszul duality | | 学科分类 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 影响因子 | .In many areas of mathematics some “higher operations” are arising. These havebecome so important that several research projects refer to such expressions. Higher operationsform new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such as algebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to algebraic operads. An operad is an algebraic device that serves to study all kinds of algebras (associative, commutative, Lie, Poisson, A-infinity, etc.) from a conceptual point of view. The book presents this topic with an emphasis on Koszul duality theory. After a modern treatment of Koszul duality for associative algebras, the theory is extended to operads. Applications to homotopy algebra are given, for instance the Homotopy Transfer Theorem. Although the necessary notions of algebra are recalled, readers are expected to be familiar with elementary homological algebra. Each chapter ends with a | | Pindex | Book 2012 |
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发表于 2025-3-21 18:44:52
