On speciality of Jordan brackets
We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The question on its sufficiency remains open.
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/791 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543165168746497 |
|---|---|
| author | Shestakov, Ivan |
| author_facet | Shestakov, Ivan |
| author_sort | Shestakov, Ivan |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T08:43:10Z |
| description | We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The question on its sufficiency remains open. |
| first_indexed | 2026-02-08T07:58:05Z |
| format | Article |
| id | admjournalluguniveduua-article-791 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:05Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7912018-04-04T08:43:10Z On speciality of Jordan brackets Shestakov, Ivan Jordan superalgebra, Jordan bracket, Poisson bracket, special algebra, Kantor double. 17C50, 17C70, 17A70 We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The question on its sufficiency remains open. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/791 Algebra and Discrete Mathematics; Vol 8, No 3 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/791/321 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Jordan superalgebra Jordan bracket Poisson bracket special algebra Kantor double. 17C50 17C70 17A70 Shestakov, Ivan On speciality of Jordan brackets |
| title | On speciality of Jordan brackets |
| title_full | On speciality of Jordan brackets |
| title_fullStr | On speciality of Jordan brackets |
| title_full_unstemmed | On speciality of Jordan brackets |
| title_short | On speciality of Jordan brackets |
| title_sort | on speciality of jordan brackets |
| topic | Jordan superalgebra Jordan bracket Poisson bracket special algebra Kantor double. 17C50 17C70 17A70 |
| topic_facet | Jordan superalgebra Jordan bracket Poisson bracket special algebra Kantor double. 17C50 17C70 17A70 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/791 |
| work_keys_str_mv | AT shestakovivan onspecialityofjordanbrackets |