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Results tagged with hopf-algebras
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user 17734
A Hopf algebra is a vector space $H$ over a field $k$ endowed with an associative product $\times:H\otimes_k H\to H$ and a coassociative coproduct $\Delta:H\to H\otimes_k H$ which is a morphism of algebras. Unit $1:k\to H$, counit $\epsilon:H\to k$ and antipode $S:H\to H$ are also required. Such a structure exists on the group algebra $k G$ of a finite group $G$.
14
votes
Open problems in Hopf algebras
Let $H$ be a finite dimensional Hopf algebra over a field $k$ of positive characteristic. The following is an important open problem:
Is the cohomology ring $Ext^\ast_H(k,k)$ a finitely generated …
- 2,019
22
votes
Accepted
Open problems in Hopf algebras
There had been a workshop on Hopf algebras and related areas in September 2015. Its report (https://www.birs.ca/workshops//2015/15w5053/report15w5053.pdf) includes a large list of open problems and co …
- 2,019