Mathematical Research Letters

Volume 4, Issue 3, May 1997 pp. 413-425.

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

Authors: Pavel Etingof, Israel Gelfand, and Vladimir Retakh
Author institution: Harvard University, and Rutgers University

Summary: We integrate nonabelian Toda field equations \cite{Kr} for root systems of types $A$, $B$, $C$, for functions with values in any associative algebra. The solution is expressed via quasideterminants introduced in \cite{GR1},\cite{GR2}, \cite{GR4}. In the appendix we review some results concerning noncommutative versions of other classical integrable equations.

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