Integrable matrix equations related to pairs of compatible associative algebras

Details Integrable matrix equations related to pairs of compatible associative algebras Integrable matrix equations related to pairs of compatible associative algebras

2006-04-26

arxiv.org/abs/math/0604574v2

J.Phys. A39 (2006) 12447-12456

Mathematics

Quantum Algebra

12 pages, Latex

Scientific paper

10.1088/0305-4470/39/40/011

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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