163 citations · 327 across the 36 of their papers we have counts for
Showing 1997 · q-algShow all
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q-alg1997★ 64 cited
Nonabelian Integrable Systems, Quasideterminants, and Marchenko Lemma
Pavel Etingof, Israel Gelfand, Vladimir Retakh
We find explicit (multisoliton) solutions for nonabelian integrable systems such as periodic Toda field equations, Langmuir equations, and Schrodinger equations for functions with…
q-alg1997
Quasideterminants, I
I. Gelfand, V. Retakh
Our experience shows that dealing with noncommutative objects one should not imitate the classical commutative mathematics, but follow "the way it is" starting with basics. In this…
q-alg1997★ 1 cited
Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
Pavel Etingof, Israel Gelfand, Vladimir Retakh
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 quasideterminant…