26 citations · 87 across the 27 of their papers we have counts for
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math.QA2009★ 12 cited
Twisting algebras using non-commutative torsors
Pierre Guillot, Christian Kassel, Akira Masuoka
Non-commutative torsors (equivalently, two-cocycles) for a Hopf algebra can be used to twist comodule algebras. After surveying and extending the literature on the subject, we prov…
math.QA2009★ 9 cited
Flatness and freeness properties of the generic Hopf Galois extensions
Christian Kassel, Akira Masuoka
In previous work, to each Hopf algebra H and each invertible right two-cocycle on H, Eli Aljadeff and the first-named author attached a subalgebra B of the free commutative Hopf al…
math.QA2009
Hopf ideals of the generalized quantum double associated to skew-paired Nichols algebras
Akira Masuoka
The quantized enveloping algebra is constructed as a quotient of the generalized quantum double $ U^{\leq 0}_q \cmdbicross_τ U^{\geq 0}_q $ associated to a natural skew pairi…