Algebraic Operads

Idioma: inglés

Editorial: Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2012

3642303617 / 9783642303616

Serie: Libro 112 de 184 - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

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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 helpful summary and exercises. A full chapter is devoted to examples, and numerous figures are included. After a low-level chapter on Algebra, accessible to (advanced) undergraduate students, the level increases gradually through the book. However, the authors have done their best to make it suitable for graduate students: three appendices review the basic results needed in order to understand the various chapters. Since higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, the book can also be used as a reference work by researchers.…

N° de ref. del artículo LU-9783642303616

Título
Algebraic Operads
Autor
Jean-Louis Loday, Bruno Vallette
Editorial
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
Año de publicación
2012
Estado
New
Encuadernación
Hardback
Idioma
inglés
ISBN 10
3642303617
ISBN 13
9783642303616
Edición
2012 ed.
Dimensiones
15.88 x 3.81 x 22.86 cm
Serie
Libro 112 de 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

Rarewaves.com USA

London, London, Reino Unido

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