TWISTS OF RATIONAL CHEREDNIK ALGEBRAS

被引：1

作者：

Bazlov, Y. ^{[1
]}

Jones-Healey, E. ^{[1
]}

Mcgaw, A. ^{[1
]}

Berenstein, A. ^{[2
]}

机构：

[1] Univ Manchester, Dept Math, Manchester M13 9PL, England

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2023年 / 74卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

COCYCLE TWISTS; REPRESENTATIONS; DISCRETE;

D O I：

10.1093/qmath/haac033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that braided Cherednik algebras introduced by Bazlov and Berenstein are cocycle twists of rational Cherednik algebras of the imprimitive complex reflection groups G(m, p, n), when m is even. This gives a new construction of mystic reflection groups which have Artin-Schelter regular rings of quantum polynomial invariants. As an application of this result, we show that a braided Cherednik algebra has a finite-dimensional representation if and only if its rational counterpart has one.

引用

页码：511 / 528

页数：18

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