nLab
module over an operad

Definition

An operad is a monoid in the monoidal category of symmetric sequences equipped with the substitution product.

A module over an operad is just a right module? over this monoid.

Right modules are very different from left modules, the latter are essentially algebras over an operad.

References

  • V. A. Smirnov?. ON THE COCHAIN COMPLEX OF TOPOLOGICAL SPACES. Mathematics of the USSR-Sbornik 43:1 (1982), 133–144. doi.

  • Martin Markl, Models for operads, Comm. Algebra 24 (1996), no. 4, 1471–1500. arXiv:hep-th/9411208v1.

Created on July 30, 2021 at 15:00:29. See the history of this page for a list of all contributions to it.