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For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...

7 votes
1 answer
490 views

Cofree Lie Coalgebra

I have problems finding anything about the cofree Lie coalgebra functor $\mathcal{L}ie^c$ out there. Basically all I found was that it appears in Harrison cohomology and that, given a $\mathbb{Z}$-g …
Mark.Neuhaus's user avatar
  • 2,074
18 votes
2 answers
3k views

What is a homotopy between $L_\infty$-algebra morphisms

common way, that gives the 'right' kind of morphisms, is that a $L_\infty$-algebra is a graded cocommutative and coassociative coalgebra, cofree in the category of locally nilpotent differential graded coalgebras
Mark.Neuhaus's user avatar
  • 2,074
1 vote
1 answer
432 views

(Co)Universal Property of Quotients/Subs

If 3.) is true what is the dual picture for (co)universal cofree coalgebras? Do they have the property that their sub coalgebras are still (co)universal coalgebras? …
Mark.Neuhaus's user avatar
  • 2,074
7 votes
0 answers
440 views

Reference for Lie coalgebras needed

In the Wikipeadia article http://en.wikipedia.org/wiki/Lie_coalgebra on Lie coalgebras an author said: "... …
Mark.Neuhaus's user avatar
  • 2,074