First and Second Cohomologies of Grading-Restricted Vertex Algebras

doi:10.1007/s00220-014-1946-8

ITP OpenIR > 理论物理所SCI论文

	First and Second Cohomologies of Grading-Restricted Vertex Algebras
	Huang, YZ; Huang, YZ (reprint author), Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA.
	2014
发表期刊	COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN	0010-3616
卷号	327 期号:1 页码:261-278
摘要	Let V be a grading-restricted vertex algebra and W a V-module. We show that for any , the first cohomology of V with coefficients in W introduced by the author is linearly isomorphic to the space of derivations from V to W. In particular, for are equal (and can be denoted using the same notation H (1)(V, W)). We also show that the second cohomology of V with coefficients in W introduced by the author corresponds bijectively to the set of equivalence classes of square-zero extensions of V by W. In the case that W = V, we show that the second cohomology corresponds bijectively to the set of equivalence classes of first order deformations of V.
部门归属	[Huang, Yi-Zhi] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China; [Huang, Yi-Zhi] Chinese Acad Sci, Kavali Inst Theoret Phys China, Beijing 100190, Peoples R China
学科领域	Physics
资助者	NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237]
DOI	10.1007/s00220-014-1946-8
URL	查看原文
收录类别	SCI
语种	英语
资助者	NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237]
引用统计
文献类型	期刊论文
条目标识符	http://ir.itp.ac.cn/handle/311006/15458
专题	理论物理所SCI论文
通讯作者	Huang, YZ (reprint author), Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA.
推荐引用方式 GB/T 7714	Huang, YZ,Huang, YZ . First and Second Cohomologies of Grading-Restricted Vertex Algebras[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2014,327(1):261-278.
APA	Huang, YZ,&Huang, YZ .(2014).First and Second Cohomologies of Grading-Restricted Vertex Algebras.COMMUNICATIONS IN MATHEMATICAL PHYSICS,327(1),261-278.
MLA	Huang, YZ,et al."First and Second Cohomologies of Grading-Restricted Vertex Algebras".COMMUNICATIONS IN MATHEMATICAL PHYSICS 327.1(2014):261-278.

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