4 citations · 6 across the 5 of their papers we have counts for
5 papers
On the finite generation of the cohomology of bosonizations
Nicolás Andruskiewitsch, David Jaklitsch, Van C. Nguyen +4
We use deformation sequences of (Hopf) algebras, extending the results of Negron and Pevtsova, to show that bosonizations of some suitable braided Hopf algebras by some suitable fi…
Taft algebra actions on preprojective algebras
Jason Gaddis, Amrei Oswald
We classify actions of generalized Taft algebras on preprojective algebras of extended Dynkin quivers of type . This may be viewed as an extension of the problem of classifying…
The Hochschild cohomology ring of monomial algebras
Dalia Artenstein, Janina C. Letz, Amrei Oswald +1
We give an explicit description of a diagonal map on the Bardzell resolution for any monomial algebra, and we use this diagonal map to describe the cup product on Hochschild cohomo…
A dichotomy between twisted tensor products of bialgebras and Frobenius algebras
Pablo S. Ocal, Amrei Oswald
We endow twisted tensor products with a natural notion of counit and comultiplication, and we provide sufficient and necessary conditions making the twisted tensor product a counit…
Hopf actions of some quantum groups on path algebras
Ryan Kinser, Amrei Oswald
Our first collection of results parametrize (filtered) actions of a quantum Borel on the path algebra of an arbitrary (finite) quiv…