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This item is printed on demand - Print on Demand Titel. Neuware -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 appendicesreview 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 660 pp. Englisch.…

Codice articolo 9783642303616

Titolo
Algebraic Operads
Autore
Jean-Louis Loday
Editore
Springer, Springer Gabler Aug 2012
Anno di pubblicazione
2012
Condizione
Neu
Rilegatura
Buch
Lingua
inglese
ISBN 10
3642303617
ISBN 13
9783642303616
Peso dell'articolo
1144 grammi
Dimensioni
241x160x41 mm
Serie
Libro 112 di 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 23 gennaio 2017

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Primo articoloEUR 60,00EUR 75,00
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