nLab
L-infinity operad

Context

Lie theory

∞-Lie theory

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Higher algebra

Contents

Idea

The L L_\infty-operad is a cofibrant resolution of the Lie operad in the model structure on operads in the category of chain complexes.

Its algebras over an operad are L-infinity algebras.

Created on November 11, 2010 21:28:07 by Urs Schreiber (87.212.203.135)