Cohomology of Lie Conformal Algebra Vir (sic) Cur g

被引：0

作者：

Xu, Maosen ^{[1
]}

Tan, Yan ^{[2
]}

Wu, Zhixiang ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China

[2] Zhejiang Agr & Forestry Univ, Coll Sci, Hangzhou 311300, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2021年 / 28卷 / 03期

关键词：

Lie conformal algebra; cohomology; conformal module;

D O I：

10.1142/S1005386721000390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we compute cohomology groups of the semisimple Lie conformal algebra S = Vir (sic) Cur g with coefficients in its irreducible modules for a finite-dimensional simple Lie algebra g.

引用

页码：507 / 520

页数：14

共 9 条

[1] [Anonymous], 1998, University Lecture Series
[2] Cohomology of conformal algebras
Bakalov, B
Kac, VG
Voronov, AA
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 200 (03) : 561 - 598
[3] DAndrea A., 1998, SEL MATH-NEW SER, V4, P377, DOI DOI 10.1007/s000290050036
[4] Central extensions and conformal derivations of a class of Lie conformal algebras
Hong, Yanyong
[J]. LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (18) : 3577 - 3598
[5] On Schrodinger-Virasoro type Lie conformal algebras
Hong, Yanyong
[J]. COMMUNICATIONS IN ALGEBRA, 2017, 45 (07) : 2821 - 2836
[6] Low dimensional cohomology of general conformal algebras gcN
Su, YC
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (01) : 509 - 524
[7] Weibel C. A., INTRO HOMOLOGICAL AL, DOI DOI 10.1017/CBO9781139644136
[8] Xu M., LIE PSEUDOALGEBRA M
[9] Yuan L, 2016, J LIE THEORY, V26, P1187

← 1 →