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6 votes
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Do purification and equivariantization commute?

Suppose that we have an action of a group $G$ on a (quasi-)Hopf algebra $H$, so that we can construct $H\rtimes G$ as in Majid's Cross Products by Braided Groups and Bosonization. It is known that $...
Eric Rowell's user avatar
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5 votes
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218 views

Lusztig's completion for universal enveloping algebra

In Arkhipov, Bezrukavnikov and Ginzburg's paper "Quantum Groups, the loop Grassmannian and the Springer resolution", they mentioned that Lusztig introduced a certain completion for universal ...
userabc's user avatar
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4 votes
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Representations of $C\left(SO_q(n)\right)$

A complete classification of irreducible representations of the $C^*$-algebra $C(G_q)$, where $G_q$ is the $q$-deformation of a classical simply connected semisimple compact Lie group, was provided by ...
Surajit's user avatar
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2 votes
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Representation finite Hopf algebras up to stable equivalence

It is well known that every representation-finite group algebra $KG$ is stable equivalent to a symmetric Nakayama algebra. Question: Is it true that every representation-finite Hopf algebra is stable ...
Mare's user avatar
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