Contents

## Examples

### $\infty$-Lie algebras

#### Higher algebra

higher algebra

universal algebra

# Contents

## Idea

(This Koszul duality is what makes L-∞ algebras be equivalent to (semifree) differential graded coalgebras.)

In the case of the monoidal category of chain complexes, we also say dg-Lie-operad. Its cofibrant resolution in the model structure on operads is the L-infinity operad whose algebras over an operad are L-∞-algebras.

## References

• V. Hinich, Homological algebra of homotopy algebras, Communications in algebra, 25(10) (1997), 3291-3323, pdf; erratum math.AG/0309453

Last revised on January 11, 2017 at 14:24:20. See the history of this page for a list of all contributions to it.