Computation of cohomology of Lie conformal and Poisson vertex algebras
Abstract We develop methods for computation of Poisson vertex algebra cohomology. This cohomology is computed for the free bosonic and fermionic Poisson vertex (super)algebras, as well as for the universal affine and Virasoro Poisson vertex algebras. We establish finite dimensionality of this cohom...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer International Publishing
2021
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| Online Access: | https://hdl.handle.net/1721.1/131571 |
| _version_ | 1826202290435915776 |
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| author | Bakalov, Bojko De Sole, Alberto Kac, Victor G |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Bakalov, Bojko De Sole, Alberto Kac, Victor G |
| author_sort | Bakalov, Bojko |
| collection | MIT |
| description | Abstract
We develop methods for computation of Poisson vertex algebra cohomology. This cohomology is computed for the free bosonic and fermionic Poisson vertex (super)algebras, as well as for the universal affine and Virasoro Poisson vertex algebras. We establish finite dimensionality of this cohomology for conformal Poisson vertex (super)algebras that are finitely and freely generated by elements of positive conformal weight. |
| first_indexed | 2024-09-23T12:05:10Z |
| format | Article |
| id | mit-1721.1/131571 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:05:10Z |
| publishDate | 2021 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1315712023-12-13T15:13:19Z Computation of cohomology of Lie conformal and Poisson vertex algebras Bakalov, Bojko De Sole, Alberto Kac, Victor G Massachusetts Institute of Technology. Department of Mathematics Abstract We develop methods for computation of Poisson vertex algebra cohomology. This cohomology is computed for the free bosonic and fermionic Poisson vertex (super)algebras, as well as for the universal affine and Virasoro Poisson vertex algebras. We establish finite dimensionality of this cohomology for conformal Poisson vertex (super)algebras that are finitely and freely generated by elements of positive conformal weight. 2021-09-20T17:20:26Z 2021-09-20T17:20:26Z 2020-07-10 2020-09-24T21:11:47Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131571 Selecta Mathematica. 2020 Jul 10;26(4):50 en https://doi.org/10.1007/s00029-020-00578-2 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ Springer Nature Switzerland AG application/pdf Springer International Publishing Springer International Publishing |
| spellingShingle | Bakalov, Bojko De Sole, Alberto Kac, Victor G Computation of cohomology of Lie conformal and Poisson vertex algebras |
| title | Computation of cohomology of Lie conformal and Poisson vertex algebras |
| title_full | Computation of cohomology of Lie conformal and Poisson vertex algebras |
| title_fullStr | Computation of cohomology of Lie conformal and Poisson vertex algebras |
| title_full_unstemmed | Computation of cohomology of Lie conformal and Poisson vertex algebras |
| title_short | Computation of cohomology of Lie conformal and Poisson vertex algebras |
| title_sort | computation of cohomology of lie conformal and poisson vertex algebras |
| url | https://hdl.handle.net/1721.1/131571 |
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