Lie Conformal Algebra Cohomology and the Variational Complex
We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads to a better understanding of both theories. In par- ticular, we give an explicit construction of the Lie conformal algebra cohomology complex, and endow it with a s...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer Berlin / Heidelberg
2011
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| Online Access: | http://hdl.handle.net/1721.1/64401 https://orcid.org/0000-0002-2860-7811 |
| _version_ | 1826217698337488896 |
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| author | De Sole, Alberto Kac, Victor |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics De Sole, Alberto Kac, Victor |
| author_sort | De Sole, Alberto |
| collection | MIT |
| description | We find an interpretation of the complex of variational calculus in terms of the Lie conformal
algebra cohomology theory. This leads to a better understanding of both theories. In par-
ticular, we give an explicit construction of the Lie conformal algebra cohomology complex,
and endow it with a structure of a g-complex. On the other hand, we give an explicit con-
struction of the complex of variational calculus in terms of skew-symmetric poly-differential
operators. |
| first_indexed | 2024-09-23T17:07:45Z |
| format | Article |
| id | mit-1721.1/64401 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:07:45Z |
| publishDate | 2011 |
| publisher | Springer Berlin / Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/644012022-10-03T10:37:08Z Lie Conformal Algebra Cohomology and the Variational Complex De Sole, Alberto Kac, Victor Massachusetts Institute of Technology. Department of Mathematics Kac, Victor Kac, Victor We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads to a better understanding of both theories. In par- ticular, we give an explicit construction of the Lie conformal algebra cohomology complex, and endow it with a structure of a g-complex. On the other hand, we give an explicit con- struction of the complex of variational calculus in terms of skew-symmetric poly-differential operators. 2011-06-10T14:45:21Z 2011-06-10T14:45:21Z 2009-08 2008-12 Article http://purl.org/eprint/type/JournalArticle 0010-3616 1432-0916 http://hdl.handle.net/1721.1/64401 de Sole, Alberto, and Victor Kac. “Lie Conformal Algebra Cohomology and the Variational Complex.” Communications in Mathematical Physics 292.3 (2009) : 667-719-719. https://orcid.org/0000-0002-2860-7811 en_US http://dx.doi.org/10.1007/s00220-009-0886-1 Communications in Mathematical Phsyics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Springer Berlin / Heidelberg Prof. Kac via Michael Noga |
| spellingShingle | De Sole, Alberto Kac, Victor Lie Conformal Algebra Cohomology and the Variational Complex |
| title | Lie Conformal Algebra Cohomology and the Variational Complex |
| title_full | Lie Conformal Algebra Cohomology and the Variational Complex |
| title_fullStr | Lie Conformal Algebra Cohomology and the Variational Complex |
| title_full_unstemmed | Lie Conformal Algebra Cohomology and the Variational Complex |
| title_short | Lie Conformal Algebra Cohomology and the Variational Complex |
| title_sort | lie conformal algebra cohomology and the variational complex |
| url | http://hdl.handle.net/1721.1/64401 https://orcid.org/0000-0002-2860-7811 |
| work_keys_str_mv | AT desolealberto lieconformalalgebracohomologyandthevariationalcomplex AT kacvictor lieconformalalgebracohomologyandthevariationalcomplex |