nLab
CoDGCA

Definition

A graded-cocommutative codifferential coalgebra is a cocommutative comonoid in the category of chain complexes (of modules over some ring).

We write CoDGCACoDGCA for the category of such codifferential coalgebras.

Remarks

  • Codifferential coalgebras whose underlying graded-cocommutative coalgebra is free over a complex of vector spaces in positive degree are Lie infinity-algebras.

References

  • Ezra Getzler and Paul Goerss, A model category structure for differential graded coalgebras (ps)

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Revised on December 14, 2008 07:56:00 by Toby Bartels (71.104.234.95)