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math.RA2024★ 1 cited
Generalized classical Yang-Baxter equation and regular decompositions
Raschid Abedin, Stepan Maximov, Alexander Stolin
The focus of the paper is on constructing new solutions of the generalized classical Yang-Baxter equation (GCYBE) that are not skew-symmetric. Using regular decompositions of finit…
math.RA2024
Regular decompositions of finite root systems and simple Lie algebras
Stepan Maximov
Let be a finite-dimensional simple Lie algebra over an algebraically closed field of characteristic 0. In this paper we classify all regular decompositions of $\math…