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

1997/01/09 by Pavel Etingof, Israel Gelfand, Etingof, Pavel +4 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #hep-th #math.QA #nlin.SI #q-alg #solv-int

paper · pdf · doi:10.48550/arxiv.q-alg/9701008

8 pages, amstex. In the revised version we have added an appendix where we discuss noncommutative KP and KdV hierarchies

openalex publication_date 1997/01/09 · arxiv created 1997/02/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• The noncommutative KP hierarchy and its solution via descent algebra

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