Algebraic Operads

Jean-Louis Loday and Bruno Vallette

You can download the whole book for the next few weeks at the following address: Version 0.99 pdf file (December 2010, 512 p.).
The reference for the version 1.00 is as follows:

J.-L. Loday and B. Vallette, Algebraic operads, Grundlehren Math. Wiss. 346, Springer, Heidelberg, 2012.

What you will find in the book:

-- A modern treatment of Koszul duality for associative algebras, where algebras and coalgebras are put on the same footing (Chapters 2-3-4).
-- The basics of symmetric operads and nonsymmetric operads (Chapter 5).
-- Koszul duality for algebraic operads (Chapter 6-7-8)
-- The example of the associative operad, including A-infinity algebras (Chapter 9)
-- Applications of the Koszul duality of operads to homotopical algebra, including the Homotopy Transfer Theorem (Chapter 10-11-12).
-- Many examples (Chapter 13).

Most of these parts can be read independently, see Leitfaden .

Home-page of Jean-Louis Loday,