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Results tagged with coalgebras
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user 21965
For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...
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 …
- 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:
"... …
- 2,074
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 …
- 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? …
- 2,074