Bazlov, Y and Berenstein, A and Mcgaw, A (2014) Twists of rational Cherednik algebras. [MIMS Preprint]
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Abstract
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 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2111 |
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