Algebraic Operads
Author:   Jean-Louis Loday ,  Bruno Vallette
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Volume:   346
ISBN:  

9783642448355


Pages:   636
Publication Date:   20 September 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Algebraic Operads


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Author:   Jean-Louis Loday ,  Bruno Vallette
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Volume:   346
Dimensions:   Width: 15.50cm , Height: 3.40cm , Length: 23.50cm
Weight:   0.997kg
ISBN:  

9783642448355


ISBN 10:   3642448356
Pages:   636
Publication Date:   20 September 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- 1.Algebras, coalgebras, homology.- 2.Twisting morphisms.- 3.Koszul duality for associative algebras.- 4.Methods to prove Koszulity of an algebra.- 5.Algebraic operad.- 6 Operadic homological algebra.- 7.Koszul duality of operads.- 8.Methods to prove Koszulity of an operad.- 9.The operads As and A\infty.- 10.Homotopy operadic algebras.- 11.Bar and cobar construction of an algebra over an operad.- 12.(Co)homology of algebras over an operad.- 13.Examples of algebraic operads.- Apendices: A.The symmetric group.- B.Categories.- C.Trees.- References.- Index.- List of Notation.

Reviews

From the reviews: It is a welcome addition to the existing literature and will, no doubt, become a standard reference for many authors working in this quickly developing field. ... 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. (Andrey Yu. Lazarev, Mathematical Reviews, March, 2013)


Author Information

Jean-Louis Loday has worked in algebraic K-theory, algebraic topology, noncommutative geometry and higher algebra. He is the author of ""Cyclic Homology"" a worldwide reference, published as volume 301 in the Grundleheren der mathematischen Wissenschadften. He is an editor of several mathematical journals and several Proceedings. He has organized six of the annual conferences ""Operads 20xx"" (starting in 2004). Bruno Vallette has worked on operads since his first years in mathematical research. He is the author of 10 research articles and a specialist of properads and of Batalin-Vilkovisky algebras. Loday and Vallette organized several summer schools and international conferences on the subject (France, China, Norway) and published the Proceedings of these conferences.

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