In establishing a more general version of the McKay correspondence, we prove Auslander's
theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter …

We continue our study of the McKay Correspondence for grading preserving actions of
semisimple Hopf algebras H on (noncommutative) Artin–Schelter regular algebras A. Here …

Let H be a Hopf algebra over a field k, and A an H-comodule algebra. The categories of
comodules and relative Hopf modules are then Grothendieck categories with enough …

Let H be a Hopf algebra. We consider H-equivariant modules over a Hopf module category
C as modules over the smash extension CH. We construct Grothendieck spectral sequences …

We develop the categorical algebra of the noncommutative base change of a comodule
category by means of a Grothendieck category S. We describe when the resulting category …

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With the main motivation to present some alternatives to the cosemisimplicity of twisted
Smash coproduct, this paper first gives some basic constructions which make sense to …

In this paper we extend the notion of the Brauer–Clifford group to the case of an Azumaya–
Poisson (S, H)-algebra, when H is a cocommutative Hopf algebra and S is an H-module …

In this paper we extend the notion of the Brauer–Clifford group to the case of an (S, G, H)(S,
G, H)-algebra, when H is a cocommutative Hopf algebra, GG is a Lie algebra in the …

We consider the category of comodules over a smash coproduct coalgebra C>⊲ H. We
show that there is a Grothendieck spectral sequence connecting the derived functors of the …