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题名: First and Second Cohomologies of Grading-Restricted Vertex Algebras
作者: Huang, YZ
刊名: COMMUNICATIONS IN MATHEMATICAL PHYSICS
出版日期: 2014
卷号: 327, 期号:1, 页码:261-278
学科分类: Physics
DOI: 10.1007/s00220-014-1946-8
通讯作者: Huang, YZ (reprint author), Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA.
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
英文摘要: 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.
资助者: NSF [PHY-0901237]
收录类别: SCI
原文出处: 查看原文
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15458
Appears in Collections:理论物理所2014年知识产出 _期刊论文

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Recommended Citation:
Huang, YZ. First and Second Cohomologies of Grading-Restricted Vertex Algebras[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2014,327(1):261-278.
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