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Integrable matrix equations related to pairs of compatible associative algebras

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arxiv math/0604574 v2 pith:4VPTNE7Q submitted 2006-04-26 math.QA hep-thmath.RTnlin.SI

Alexander Odesskii , Vladimir Sokolov This is my paper · ORCID
classification math.QAhep-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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