English

Classification of $4$-dimensional complex Poisson algebras

Representation Theory 2025-08-14 v2

Abstract

The present paper is devoted to the complete classification of 44-dimensional complex Poisson algebras, taking into account a classification, up to isomorphism, of the complex commutative associative algebras of dimension 44, as well as by using a Lie algebra classification, up to isomorphism.

Keywords

Cite

@article{arxiv.2410.07957,
  title  = {Classification of $4$-dimensional complex Poisson algebras},
  author = {Hani Abdelwahab and José María Sánchez},
  journal= {arXiv preprint arXiv:2410.07957},
  year   = {2025}
}
R2 v1 2026-06-28T19:16:14.265Z