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math.RT2008★ 7 cited
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…
math.QA2008
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…