Twists of rational Cherednik algebras

Bazlov, Y and Berenstein, A and Mcgaw, A (2014) Twists of rational Cherednik algebras. [MIMS Preprint]

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The main result of the paper is that braided Cherednik algebras introduced by the first two authors are cocycle twists of rational Cherednik algebras. This gives a new construction of mystic reflection groups and a new proof that such groups have Artin-Schelter regular rings of quantum polynomial invariants. Furthermore, the main result leads to a construction of finite-dimensional representations of braided Cherednik algebras. In this first version of the paper, we give a full proof of the main result and sketch the application to representations of braided Cherednik algebras.

Item Type: MIMS Preprint
Additional Information: Preprint version - v1
Uncontrolled Keywords: Cherednik algebras, complex reflection groups, representation theory
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 16 Associative rings and algebras
Depositing User: Dr Yuri Bazlov
Date Deposited: 05 Mar 2014
Last Modified: 08 Nov 2017 18:18

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