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If it turns out that a problem is equivalent to a known open problem, then the open-problem tag is added. After that, the question essentially becomes, "What is known about this problem? What are some possible ways to approach this problem? What are some ways that people have tried to attack it before, and with what results?"
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 …
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 …