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Factorization of differential operators, quasideterminants, and nonabelian Toda field equations

Pavel Etingof·Israel Gelfand·Vladimir Retakh
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Abstract

We integrate nonabelian Toda field equations for root systems of types A, B, C, for functions with values in any associative algebra. The solution is expressed via quasideterminants. In the appendix we review some results concerning nonabelian soliton equations.

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BibTeXRIS

Pavel Etingof, Israel Gelfand, Vladimir Retakh. 1997-02-04. Factorization of differential operators, quasideterminants, and nonabelian Toda field equations. https://arxiv.org/abs/q-alg/9701008

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