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Huang, YZ; Huang, YZ (reprint author), Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA.
First and Second Cohomologies of Grading-Restricted Vertex Algebras
Source PublicationCOMMUNICATIONS IN MATHEMATICAL PHYSICS
Language英语
AbstractLet 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.
2014
ISSN0010-3616
Volume327Issue:1Pages:261-278
Subject AreaPhysics
DOI10.1007/s00220-014-1946-8
Indexed BySCI
Funding OrganizationNSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15458
Collection理论物理所科研产出_SCI论文
Corresponding AuthorHuang, YZ (reprint author), Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA.
Recommended Citation
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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