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math.RA2019
Rota-Baxter operators of nonzero weight on the matrix algebra of order three
Maxim Goncharov, Vsevolod Gubarev
We classify all Rota-Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which are not arisen from the…
math.RA2019★ 5 cited
Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang-Baxter equation on quadratic Lie algebras
Maxim Goncharov
We study possible connections between Rota-Baxter operators of non-zero weight and non-skew-symmetric solutions of the classical Yang-Baxter equation on finite-dimensional quadrati…