Author:
Fehlberg Júnior R.,Kaygorodov I.
Abstract
We describe the Kantor square (and Kantor product) of multiplications, extending the classification proposed in [J. Algebra Appl. 2017, 16 (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.
Publisher
Vasyl Stefanyk Precarpathian National University
Cited by
2 articles.
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1. Transposed Poisson Structures;Results in Mathematics;2024-02-10
2. The algebraic and geometric classification of transposed Poisson algebras;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-01-10