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arXiv · 2201.00174

On the Kantor product, II

Renato Fehlberg Júnior·Ivan Kaygorodov
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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.

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Renato Fehlberg Júnior, Ivan Kaygorodov. 2022-01-01. On the Kantor product, II. https://doi.org/10.15330/cmp.14.2.543-563

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