Оn Hom-pre-Poisson conformal algebras and related structures

Authors

  • Taoufik Chtioui Faculty of Sciences, University of Gabes, Gabes, Tunisia
  • Atef Hajjaji Faculty of Sciences, University of Sfax, Sfax, Tunisia
  • Sami Mabrouk Faculty of Sciences, University of Gafsa, Gafsa, Tunisia

DOI:

https://doi.org/10.3842/umzh.v78i5-6.8703

Keywords:

Hom-Poisson conformal algebra, Hom-pre-Poisson conformal algebra, Hom-Gel'fand-Dorfman Poisson algebra, deformation quantization.

Abstract

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.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 5-6, 2026.

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Published

29.05.2026

Issue

Vol. 78 No. 5-6 (2026)

Section

Research articles