Twisting algebras using non-commutative torsors

Details Twisting algebras using non-commutative torsors Twisting algebras using non-commutative torsors

2009-11-27

arxiv.org/abs/0911.5287v3

Mathematics

Quantum Algebra

27 pages. Masuoka is a new coauthor. Introduction was revised. Sections 1 and 2 were thoroughly restructured. The presentation

Scientific paper

10.1007/s00209-011-0891-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.

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