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3 votes
0 answers
113 views

Is the Frobenius property invariant by Morita equivalence?

Kaplansky's sixth conjecture [Ka75] states that the dimension of a semisimple finite dimensional Hopf algebra over $\mathbb{C}$ is divisible by the dimension of its irreducible complex representations....
Sebastien Palcoux's user avatar
2 votes
1 answer
197 views

When are Morita classes represented by certain structured algebra objects?

Let $\mathcal{C}$ be a monoidal category. There is a notion of Morita equivalence of algebra objects internal to $\mathcal{C}$. Does each Morita class have a symmetric Frobenius representative? A Hopf ...
Alex Turzillo's user avatar