Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/114184
Title: | Degenerations of Poisson algebras | Authors: | Abdelwahab, Hani Ouaridi, Amir Fernández González, Cándido Martín |
Keywords: | Poisson algebras; algebraic classification; geometric classification; degeneratio | Issue Date: | 2023 | Publisher: | World Scientific | Project: | UIDB/00324/2020 Spanish Government through the Ministry of Universities grant ‘Margarita Salas’, funded by the European Union - NextGenerationEU |
Serial title, monograph or event: | Journal of Algebra and its Applications | Abstract: | We construct a method to obtain the algebraic classification of Poisson algebras defined on a commutative associative alge bra, and we apply it to obtain the classification of the 3-dimensional Poisson algebras. In addition, we study the geometric classification, the graph of degenerations and the closures of the orbits of the variety of 3-dimensional Poisson algebras. Finally, we also study the algebraic classification of the Poisson algebras defined on a commutative associative null-filiform or filiform algebra and, to enrich this classification, we study the degenerations between these particular Poisson algebras. | URI: | https://hdl.handle.net/10316/114184 | ISSN: | 0219-4988 1793-6829 |
DOI: | 10.1142/S0219498825500872 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
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Degenerations of Poisson algebras_arXiv.pdf | 234.27 kB | Adobe PDF | View/Open |
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