Degenerations of Poisson-type algebras
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911813158830080 |
|---|---|
| author | Abdelwahab, Hani Ouaridi, Amir Fernández Kaygorodov, Ivan |
| author_facet | Abdelwahab, Hani Ouaridi, Amir Fernández Kaygorodov, Ivan |
| contents | The degenerations of Poisson-type algebras are studied in the following varieties in dimension two: Leibniz--Poisson algebras, transposed Leibniz--Poisson algebras, Novikov--Poisson algebras, commutative pre-Lie algebras, anti-pre-Lie Poisson algebras and pre-Poisson algebras. For these varieties, the algebraic and geometric classifications are given. Also, the complete graph of degenerations is obtained, together with the description of the orbit closures of each of its algebras and parametric families up to isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17193 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Degenerations of Poisson-type algebras Abdelwahab, Hani Ouaridi, Amir Fernández Kaygorodov, Ivan Rings and Algebras The degenerations of Poisson-type algebras are studied in the following varieties in dimension two: Leibniz--Poisson algebras, transposed Leibniz--Poisson algebras, Novikov--Poisson algebras, commutative pre-Lie algebras, anti-pre-Lie Poisson algebras and pre-Poisson algebras. For these varieties, the algebraic and geometric classifications are given. Also, the complete graph of degenerations is obtained, together with the description of the orbit closures of each of its algebras and parametric families up to isomorphism. |
| title | Degenerations of Poisson-type algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2403.17193 |