2 papers
math.RA2024
Skew-symmetric solutions of the classical Yang-Baxter equation and -operators of Malcev algebras
Shan Ren, Runxuan Zhang
We study connections between skew-symmetric solutions of the classical Yang-Baxter equation (CYBE) and -operators of Malcev algebras. We prove that a skew-symmetric so…
math.QA2023
Parity duality of super -matrices via -operators and pre-Lie superalgebras
Chengming Bai, Li Guo, Runxuan Zhang
This paper studies super -matrices and operator forms of the super classical Yang-Baxter equation. First by a unified treatment, the classical correspondence between -matrice…