On the Kantor product, II
Rings and Algebras
2023-06-02 v1
Abstract
We describe the Kantor square (and Kantor product) of multiplications, extending the classification proposed in [I. Kaygorodov, On the Kantor product, Journal of Algebra and Its Applications, 16 (2017), 9, 1750167]. Besides, we explicitly describe the Kantor square of some low dimensional algebras and give constructive methods for obtaining new transposed Poisson algebras and Poisson-Novikov algebras; and for classifying Poisson structures and commutative post-Lie structures on a given algebra.
Cite
@article{arxiv.2201.00174,
title = {On the Kantor product, II},
author = {Renato Fehlberg Júnior and Ivan Kaygorodov},
journal= {arXiv preprint arXiv:2201.00174},
year = {2023}
}