Categorification of the elliptic Hall algebra

IF 0.9 3区 数学 Q2 MATHEMATICS Documenta Mathematica Pub Date : 2021-04-15 DOI:10.4171/dm/896
Youssef Mousaaid, Alistair Savage
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引用次数: 0

Abstract

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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椭圆霍尔代数的分类
我们证明了椭圆霍尔代数的普遍中心扩展的中心电荷k约化与中心电荷k的量子Heisenberg范畴的迹同构或第零Hochschild同调。作为一个应用,我们构造了椭圆霍尔代数的普遍扩展的大族表示。
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来源期刊
Documenta Mathematica
Documenta Mathematica 数学-数学
CiteScore
1.60
自引率
11.10%
发文量
0
审稿时长
>12 weeks
期刊介绍: DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.
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