# 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,