Classification of linearly compact simple Nambu-Poisson algebras
We introduce the notion of a universal odd generalized Poisson superalgebra associated with an associative algebra A, by generalizing a construction made in the work of De Sole and Kac [Jpn. J. Math. 8, 1-145 (2013)]. By making use of this notion we give a complete classification of simple linearly...
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| Format: | Article |
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American Institute of Physics (AIP)
2018
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| Online Access: | http://hdl.handle.net/1721.1/115828 https://orcid.org/0000-0002-2860-7811 |
| _version_ | 1826204497733484544 |
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| author | Cantarini, Nicoletta Kac, Victor |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Cantarini, Nicoletta Kac, Victor |
| author_sort | Cantarini, Nicoletta |
| collection | MIT |
| description | We introduce the notion of a universal odd generalized Poisson superalgebra associated with an associative algebra A, by generalizing a construction made in the work of De Sole and Kac [Jpn. J. Math. 8, 1-145 (2013)]. By making use of this notion we give a complete classification of simple linearly compact (generalized) n-Nambu-Poisson algebras over an algebraically closed field of characteristic zero. |
| first_indexed | 2024-09-23T12:56:33Z |
| format | Article |
| id | mit-1721.1/115828 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T12:56:33Z |
| publishDate | 2018 |
| publisher | American Institute of Physics (AIP) |
| record_format | dspace |
| spelling | mit-1721.1/1158282022-10-01T12:02:38Z Classification of linearly compact simple Nambu-Poisson algebras Cantarini, Nicoletta Kac, Victor Massachusetts Institute of Technology. Department of Mathematics Cantarini, Nicoletta Kac, Victor We introduce the notion of a universal odd generalized Poisson superalgebra associated with an associative algebra A, by generalizing a construction made in the work of De Sole and Kac [Jpn. J. Math. 8, 1-145 (2013)]. By making use of this notion we give a complete classification of simple linearly compact (generalized) n-Nambu-Poisson algebras over an algebraically closed field of characteristic zero. 2018-05-23T18:24:31Z 2018-05-23T18:24:31Z 2016-05 2015-12 2018-05-23T15:57:24Z Article http://purl.org/eprint/type/JournalArticle 0022-2488 1089-7658 http://hdl.handle.net/1721.1/115828 Cantarini, Nicoletta and Victor G. Kac. “Classification of Linearly Compact Simple Nambu-Poisson Algebras.” Journal of Mathematical Physics 57, 5 (May 2016): 051701 © 2016 Author(s) https://orcid.org/0000-0002-2860-7811 http://dx.doi.org/10.1063/1.4948409 Journal of Mathematical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf American Institute of Physics (AIP) arXiv |
| spellingShingle | Cantarini, Nicoletta Kac, Victor Classification of linearly compact simple Nambu-Poisson algebras |
| title | Classification of linearly compact simple Nambu-Poisson algebras |
| title_full | Classification of linearly compact simple Nambu-Poisson algebras |
| title_fullStr | Classification of linearly compact simple Nambu-Poisson algebras |
| title_full_unstemmed | Classification of linearly compact simple Nambu-Poisson algebras |
| title_short | Classification of linearly compact simple Nambu-Poisson algebras |
| title_sort | classification of linearly compact simple nambu poisson algebras |
| url | http://hdl.handle.net/1721.1/115828 https://orcid.org/0000-0002-2860-7811 |
| work_keys_str_mv | AT cantarininicoletta classificationoflinearlycompactsimplenambupoissonalgebras AT kacvictor classificationoflinearlycompactsimplenambupoissonalgebras |