2 citations · 3 across the 3 of their papers we have counts for
5 papers
Representation theory of the Drinfel'd doubles of a family of Hopf algebras
K. Erdmann, E. L. Green, N. Snashall +1
We investigate the Drinfel'd doubles of a certain family of Hopf algebras. We determine their simple modules and their indecomposable projective modules, and we obtain…
Hochschild and cyclic homology of a family of Auslander algebras
Rachel Taillefer
In this paper, we compute the Hochschild and cyclic homologies of the Auslander algebras of the Taft algebras. We also describe the first Chern character for the Taft algebras and…
Injective Hopf bimodules, cohomologies of infinite dimensional Hopf algebras and graded-commutativity of the Yoneda product
Rachel Taillefer
We prove that the category of Hopf bimodules over any Hopf algebra has enough injectives, which enables us to extend some results on the unification of Hopf bimodule cohomologies o…
Cyclic homology of the Taft algebras and of their Auslander algebras
Rachel Taillefer
In this paper, we compute the cyclic homology of the Taft algebras and of their Auslander algebras. Given a Hopf algebra the Grothendieck groups of projective modules and…
Cyclic homology of Hopf algebras
Rachel Taillefer
A cyclic cohomology theory adapted to Hopf algebras has been introduced recently by Connes and Moscovici. In this paper, we consider this object in the homological framework, in th…