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Homotopy equivalences and Mapping Cones

It is true. It is not trivial (this is an opinion), however it is standard. In any triangulated category, two objects and a map determine the third, up to (usually non unique) isomorphism. And the cat …
Marco Farinati's user avatar
1 vote

bialgebra cohomology

I don't know about e3, but the Lie up to homotopy is in "Intrinsic brackets and the $L_{\infty}$-deformation theory of bialgebras" by Martin Markl, https://arxiv.org/abs/math/0411456.
Marco Farinati's user avatar
2 votes

Lie algebra of a compact Lie group and derivations of the Hopf algebra of representative fun...

Some years ago we did something that -I think- answers the algebraic version of your question [FS]. If you have a Hopf algebra $H$, then the counit gives you a map $\varepsilon_* :\mathrm{Hom}(H,H)\t …
YCor's user avatar
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2 votes

How well is the classification of low-dimensional semisimple Hopf superalgebras (or braided ...

If H is a Hopf super algebra then $H\#k[\mathbb Z_2]$ is an ordinary Hopf algebra. So, with some work, one should get the classification up to dim 30 from the classification of ordinary Hopf algebras …
Marco Farinati's user avatar