Оn Hom-pre-Poisson conformal algebras and related structures
UDC 512.554, 514.7 We introduce and study Hom-Poisson conformal algebras. They are generalizations of Poisson conformal algebras in the Hom-setting. First, we provide several construction results for Hom-Poisson conformal algebras and characterize a special class called quadratic Hom-Poisson conform...
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| Datum: | 2026 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8703 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1866663701173501952 |
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| author | Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami |
| author_facet | Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami |
| author_institution_txt_mv | [
{
"author": "Taoufik Chtioui",
"institution": "Faculty of Sciences, University of Gabes, Gabes, Tunisia"
},
{
"author": "Atef Hajjaji",
"institution": "Faculty of Sciences, University of Sfax, Sfax, Tunisia"
},
{
"author": "Sami Mabrouk",
"institution": "Faculty of Sciences, University of Gafsa, Gafsa, Tunisia"
}
] |
| author_sort | Chtioui, Taoufik |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-05-30T12:44:15Z |
| description | UDC 512.554, 514.7
We introduce and study Hom-Poisson conformal algebras. They are generalizations of Poisson conformal algebras in the Hom-setting. First, we provide several construction results for Hom-Poisson conformal algebras and characterize a special class called quadratic Hom-Poisson conformal algebras. We consider the notion of $\mathcal{O}$-operators on Hom-Poisson conformal algebras and explore them to define and construct Hom-pre-Poisson conformal algebras. Finally, we introduce the notion of Hom-dendriform conformal formal deformations of Hom-Zinbiel conformal algebras and show that the Hom-pre-Poisson conformal algebras are the corresponding semi-classical limits. |
| doi_str_mv | 10.3842/umzh.v78i5-6.8703 |
| first_indexed | 2026-05-30T01:00:41Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8703 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-05-31T01:00:29Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-87032026-05-30T12:44:15Z Оn Hom-pre-Poisson conformal algebras and related structures Оn Hom-pre-Poisson conformal algebras and related structures Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Hom-Poisson conformal algebra, Hom-pre-Poisson conformal algebra, Hom-Gel'fand-Dorfman Poisson algebra, deformation quantization. UDC 512.554, 514.7 We introduce and study Hom-Poisson conformal algebras. They are generalizations of Poisson conformal algebras in the Hom-setting. First, we provide several construction results for Hom-Poisson conformal algebras and characterize a special class called quadratic Hom-Poisson conformal algebras. We consider the notion of $\mathcal{O}$-operators on Hom-Poisson conformal algebras and explore them to define and construct Hom-pre-Poisson conformal algebras. Finally, we introduce the notion of Hom-dendriform conformal formal deformations of Hom-Zinbiel conformal algebras and show that the Hom-pre-Poisson conformal algebras are the corresponding semi-classical limits. УДК 512.554, 514.7 Про Hom-pre-пуассонові конформні алгебри та суміжні структури Введено та досліджено Hom-пуассонові конформні алгебри. Вони є узагальненням пуассонових конформних алгебр у Hom-постановці. Спочатку наведено кілька результатів щодо побудови Hom-пуассонових конформних алгебр та охарактеризовано спеціальний клас, що називається квадратичними Hom-пуассоновими конформними алгебрами. Крім того, розглянуто поняття $\mathcal{O}$-операторів на Hom-пуассонових конформних алгебрах. Ці оператори використовуються для визначення і побудови Hom-pre-пуассонових конформних алгебр. Насамкінець розглянуто поняття Hom-дендриформних конформних формальних деформацій Hom-зінбієлевих конформних алгебр і показано, що Hom-pre-пуассонові конформні алгебри є відповідними напівкласичними границями. Institute of Mathematics, NAS of Ukraine 2026-05-29 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8703 10.3842/umzh.v78i5-6.8703 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 5-6 (2026); 368–369 Український математичний журнал; Том 78 № 5-6 (2026); 368–369 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8703/10657 Copyright (c) 2026 Taoufik Chtioui, Atef Hajjaji, Sami Mabrouk |
| spellingShingle | Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Оn Hom-pre-Poisson conformal algebras and related structures |
| title | Оn Hom-pre-Poisson conformal algebras and related structures |
| title_alt | Оn Hom-pre-Poisson conformal algebras and related structures |
| title_full | Оn Hom-pre-Poisson conformal algebras and related structures |
| title_fullStr | Оn Hom-pre-Poisson conformal algebras and related structures |
| title_full_unstemmed | Оn Hom-pre-Poisson conformal algebras and related structures |
| title_short | Оn Hom-pre-Poisson conformal algebras and related structures |
| title_sort | оn hom-pre-poisson conformal algebras and related structures |
| topic_facet | Hom-Poisson conformal algebra Hom-pre-Poisson conformal algebra Hom-Gel'fand-Dorfman Poisson algebra deformation quantization. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8703 |
| work_keys_str_mv | AT chtiouitaoufik onhomprepoissonconformalalgebrasandrelatedstructures AT hajjajiatef onhomprepoissonconformalalgebrasandrelatedstructures AT mabrouksami onhomprepoissonconformalalgebrasandrelatedstructures AT chtiouitaoufik onhomprepoissonconformalalgebrasandrelatedstructures AT hajjajiatef onhomprepoissonconformalalgebrasandrelatedstructures AT mabrouksami onhomprepoissonconformalalgebrasandrelatedstructures |