Knowledge Management System of Institute of Theoretical Physics, CAS
| 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 Publication | COMMUNICATIONS IN MATHEMATICAL PHYSICS
 |
| Language | 英语 |
| Abstract | 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. |
| 2014 | |
| ISSN | 0010-3616 |
| Volume | 327Issue:1Pages:261-278 |
| Subject Area | Physics |
| DOI | 10.1007/s00220-014-1946-8 |
| Indexed By | SCI |
| Funding Organization | NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] ; NSF [PHY-0901237] |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/15458 |
| Collection | 理论物理所科研产出_SCI论文 |
| Corresponding Author | Huang, 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| First and Second Coh（239KB） | 开放获取 | License | Application Full Text | |||
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