7 citations · 17 across the 10 of their papers we have counts for
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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)…
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…
Noncommutative Dunkl operators and braided Cherednik algebras
Yuri Bazlov, Arkady Berenstein
We introduce braided Dunkl operators that are acting on a q-polynomial algebra and q-commute. Generalizing the approach of Etingof and Ginzburg, we explain the q-commutation phenom…
Braided doubles
Yuri Bazlov, Arkady Berenstein
Braided doubles provide a unifying framework for classical and quantum universal enveloping algebras and rational Cherednik algebras. They are a class of algebras with triangular d…