Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules

被引：0

作者：

Alhussein, H. ^{[1
,2
]}

Kolesnikov, P. ^{[3
,4
]}

机构：

[1] Siberian State Univ Telecommun & Informat, Novosibirsk, Russia

[2] Novosibirsk State Univ Econ & Management, Novosibirsk, Russia

[3] Sobolev Inst Math, Novosibirsk, Russia

[4] Higher Sch Econ, Moscow, Russia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

MORSE-THEORY; CLASSIFICATION;

D O I：

10.1063/5.0146223

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal associative conformal envelope of the Virasoro Lie conformal algebra relative to the locality N = 2. In order to obtain this result, we adjust the algebraic discrete Morse theory to the case of differential algebras.

引用

页数：16

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