Timeline for Frobenius algebras of small dimensions
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| Apr 16, 2020 at 19:28 | comment | added | YCor | In analogous problems for other algebraic structures, it often depends on the field. For instance for nilpotent Lie algebras, in dimension $\le 5$ the classification is finite and uniform in characteristic $\neq 2,3$ for all fields, while in dimension $6$, it's still finite for algebraically closed fields, and some in the list split, over subfields $K$, as a family indexed by $K^*/{K^*}^2$. Then in dimension $\ge 7$ there are families indexed by the field itself. So your question has two distinct aspects, both of interest, one being the algebraically closed case (in large enough char.). | |
| Apr 16, 2020 at 19:17 | history | asked | Mare | CC BY-SA 4.0 |