Integrable matrix equations related to pairs of compatible associative algebras
classification
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hep-thmath.RTnlin.SI
keywords
associativemultiplicationsalgebrascompatibleintegrablematrixrelateda-type
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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 Dynkin diagrams of A, D, E-type. In this paper we investigate in details the multiplications of the A-type and integrable matrix ODEs and PDEs generated by them.
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