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math.QA2006
Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations
Alexander Odesskii, Vladimir Sokolov
Given an associative multiplication in matrix algebra compatible with the usual one or, in other words, linear deformation of matrix algebra, we construct a solution to the classic…
math.QA2006★ 23 cited
Integrable matrix equations related to pairs of compatible associative algebras
Alexander Odesskii, Vladimir Sokolov
We study associative multiplications in semi-simple associative algebras over C compatible with the usual one. An interesting class of such multiplications is related to the affine…