The Harish-Chandra isomorphism for quantum GL2

被引：4

作者：

Balagovic, Martina ^{[1
]}

Jordan, David ^{[2
]}

机构：

[1] Newcastle Univ, Sch Math Stat & Phys, Herschel Bldg, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

[2] Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg,Kings Bldg, Edinburgh EH9 3FD, Midlothian, Scotland

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2018年 / 12卷 / 03期

基金：

英国工程与自然科学研究理事会; 欧洲研究理事会;

关键词：

Double affine Hecke algebra; quantum differential operators; factorization homology; HILBERT SCHEME; HALL ALGEBRA; MODULES; CURVE;

D O I：

10.4171/JNCG/300

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct an explicit Harish-Chandra isomorphism, from the quantum Hamiltonian reduction of the algebra D-q (GL(2)) of quantum differential operators on GL(2), to the spherical double affine Hecke algebra associated to GL(2). The isomorphism holds for all deformation parameters q is an element of C-x and t not equal +/- i, such that q is not a non-trival root of unity.

引用

页码：1158 / 1194

页数：37

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