Algebraic Operads
Jean-Louis Loday and Bruno Vallette
512 pages
You can download the whole book for the next few weeks at the following
address: Version
0.99
pdf file (December 2010).
When the book is published this address will not be accessible anymore.
Any comment, correction, either mathematical or grammatical is welcome.
Please send them to loday@math.unistra.fr .
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,