Calculus structure on the Lie conformal algebra complex and the variational complex
We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [A. De Sole and V. G. Kac, Commun. Math. Phys. 292, 667 (2009)]. A special case of this construction is the variational calculus,...
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| Format: | Article |
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AIP Publishing
2018
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| Online Access: | http://hdl.handle.net/1721.1/115841 https://orcid.org/0000-0002-2860-7811 |
| _version_ | 1826201924795367424 |
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| author | De Sole, Alberto Hekmati, Pedram Kac, Victor |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics De Sole, Alberto Hekmati, Pedram Kac, Victor |
| author_sort | De Sole, Alberto |
| collection | MIT |
| description | We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [A. De Sole and V. G. Kac, Commun. Math. Phys. 292, 667 (2009)]. A special case of this construction is the variational calculus, for which we provide explicit formulas. |
| first_indexed | 2024-09-23T11:59:01Z |
| format | Article |
| id | mit-1721.1/115841 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T11:59:01Z |
| publishDate | 2018 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1158412022-09-27T23:18:00Z Calculus structure on the Lie conformal algebra complex and the variational complex De Sole, Alberto Hekmati, Pedram Kac, Victor Massachusetts Institute of Technology. Department of Mathematics Kac, Victor We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [A. De Sole and V. G. Kac, Commun. Math. Phys. 292, 667 (2009)]. A special case of this construction is the variational calculus, for which we provide explicit formulas. 2018-05-24T15:39:55Z 2018-05-24T15:39:55Z 2011-05 2010-07 2018-05-24T12:22:23Z Article http://purl.org/eprint/type/JournalArticle 0022-2488 1089-7658 http://hdl.handle.net/1721.1/115841 De Sole, Alberto et al. “Calculus Structure on the Lie Conformal Algebra Complex and the Variational Complex.” Journal of Mathematical Physics 52, 5 (May 2011): 053510 © 2011 American Institute of Physics https://orcid.org/0000-0002-2860-7811 http://dx.doi.org/10.1063/1.3580676 Journal of Mathematical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf AIP Publishing arXiv |
| spellingShingle | De Sole, Alberto Hekmati, Pedram Kac, Victor Calculus structure on the Lie conformal algebra complex and the variational complex |
| title | Calculus structure on the Lie conformal algebra complex and the variational complex |
| title_full | Calculus structure on the Lie conformal algebra complex and the variational complex |
| title_fullStr | Calculus structure on the Lie conformal algebra complex and the variational complex |
| title_full_unstemmed | Calculus structure on the Lie conformal algebra complex and the variational complex |
| title_short | Calculus structure on the Lie conformal algebra complex and the variational complex |
| title_sort | calculus structure on the lie conformal algebra complex and the variational complex |
| url | http://hdl.handle.net/1721.1/115841 https://orcid.org/0000-0002-2860-7811 |
| work_keys_str_mv | AT desolealberto calculusstructureonthelieconformalalgebracomplexandthevariationalcomplex AT hekmatipedram calculusstructureonthelieconformalalgebracomplexandthevariationalcomplex AT kacvictor calculusstructureonthelieconformalalgebracomplexandthevariationalcomplex |