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Coideal subalgebras of quantum at roots of unity
Kenichi Shimizu, Rei Sugitani
We classify right coideal subalgebras of the finite-dimensional quotient of the quantized enveloping algebra and that of the quantized coordinate algebra $\m…
Commutative algebras in Grothendieck-Verdier categories, rigidity, and vertex operator algebras
Thomas Creutzig, Robert McRae, Kenichi Shimizu +1
Let be a commutative algebra in a braided monoidal category ; e.g., could be an extension of a vertex operator algebra (VOA) in a category of…
Commutative exact algebras and modular tensor categories
Kenichi Shimizu, Harshit Yadav
Inspired by the study of vertex operator algebra extensions, we answer the question of when the category of local modules over a commutative exact algebra in a braided finite tenso…
Quasi-Frobenius algebras in finite tensor categories
Kenichi Shimizu
We introduce the notion of a quasi-Frobenius algebra in a finite tensor category and give equivalent conditions for an algebra in to be quasi-Frobenius.…