Math. Zeitschrift 271 (2012), 789-818, doi:10.1007/s00209-011-0891-x

Pierre Guillot, Christian Kassel, and Akira Masuoka

Twisting algebras using non-commutative torsors: explicit computations

Mathematics Subject Classification (2000): 20D25, 20J06, 16S34, 16W30

Abstract. 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.

Downloadable pdf and ps files from arXiv:0911.5287 /Téléchargeable d'arXiv:0911.5287

(6 janvier 2013)