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math.QA2013★ 1 cited
Generic base algebras and universal comodule algebras for some finite-dimensional Hopf algebras
Uma N. Iyer, Christian Kassel
After recalling the definitions and the properties of the generic base algebra and of the universal comodule algebra attached to a Hopf algebra by Aljadeff and the second-named aut…
math.CO2013
Algebraicity of the zeta function associated to a matrix over a free group algebra
Christian Kassel, Christophe Reutenauer
Following and generalizing a construction by Kontsevich, we associate a zeta function to any matrix with entries in a ring of noncommutative Laurent polynomials with integer coeffi…
math.RA2013
Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras
Christian Kassel
We define polynomial H-identities for comodule algebras over a Hopf algebra H and establish general properties for the corresponding T-ideals. In the case H is a Taft algebra or th…