7 citations · 17 across the 10 of their papers we have counts for
10 papers
Quantum Segre maps via cocycle twists
Yuri Bazlov, Runyang Chen
A well-known noncommutative deformation of the polynomial algebra can be obtained as a twist of by a cocycle on the gradin…
Twists of representations of complex reflection groups and rational Cherednik algebras
Yuri Bazlov, Edward Jones-Healey
Drinfeld twists, and the twists of Giaquinto and Zhang, allow for algebras and their modules to be deformed by a cocycle. We prove general results about cocycle twists of algebra f…
Twists of rational Cherednik algebras
Yuri Bazlov, Arkady Berenstein, Edward Jones-Healey +1
We show that braided Cherednik algebras introduced by the first two authors are cocycle twists of rational Cherednik algebras of the imprimitive complex reflection groups $G(m,p,n)…
Mystic Reflection Groups
Yuri Bazlov, Arkady Berenstein
This paper aims to systematically study mystic reflection groups that emerged independently in the paper [Selecta Math. (N.S.) 14 (2009), 325-372, arXiv:0806.0867] by the authors a…
Cocycle Twists and Extensions of Braided Doubles
Yuri Bazlov, Arkady Berenstein
It is well known that central extensions of a group G correspond to 2-cocycles on G. Cocycles can be used to construct extensions of G-graded algebras via a version of the Drinfeld…
The Harish-Chandra isomorphism for Clifford algebras
Yuri Bazlov
We study the analogue of the Harish-Chandra homomorphism where the universal enveloping algebra is replaced by the Clifford algebra, , of a semisimple Lie algebra . Two m…