CATEGORIFICATION OF THE ELLIPTIC HALL ALGEBRA

被引：0
|
作者：
Mousaaid, Youssef [1 ]
Savage, Alistair [1 ]
机构：
[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada
来源：
DOCUMENTA MATHEMATICA | 2022年 / 27卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Categorification; elliptic Hall algebra; Heisenberg category; skein theory; Hecke algebras; HECKE ALGEBRAS; QUANTUM; CONSTRUCTION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the central charge k reduction of the universal central extension of the elliptic Hall algebra is isomorphic to the trace, or zeroth Hochschild homology, of the quantum Heisenberg category of central charge k. As an application, we construct large families of representations of the universal extension of the elliptic Hall algebra.
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页码：1225 / 1274
页数：50
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