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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

9 votes

Which monoidal categories are equivalent to their centers?

Interesting question, but It's certainly false for fusion $\mathcal{C}$ bigger than $Vec$ since FPdim$(\mathcal{C})^2=$ FPdim$(Z(\mathcal{C}))$ (FPdim signifies the Frobenius-Perron dimension).
Justin Greenough's user avatar