%0 Journal Article
%T Twisting algebras using non-commutative torsors
%A Pierre Guillot
%A Christian Kassel
%A Akira Masuoka
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s00209-011-0891-x
%X 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 prove a theorem that affords a presentation by generators and relations for the algebras obtained by such twisting. We give a number of examples, including new constructions of the quantum affine spaces and the quantum tori.
%U http://arxiv.org/abs/0911.5287v3