Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
q-alg
2008-02-03 v2 High Energy Physics - Theory
Quantum Algebra
Exactly Solvable and Integrable Systems
solv-int
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.
Cite
@article{arxiv.q-alg/9701008,
title = {Factorization of differential operators, quasideterminants, and nonabelian Toda field equations},
author = {Pavel Etingof and Israel Gelfand and Vladimir Retakh},
journal= {arXiv preprint arXiv:q-alg/9701008},
year = {2008}
}
Comments
8 pages, amstex. In the revised version we have added an appendix where we discuss noncommutative KP and KdV hierarchies