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...
Saved in:
| Date: | 2026 |
|---|---|
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8703 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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: | 10.3842/umzh.v78i5-6.8703 |