258 citations
- Laboratoire Angevin de Recherche en MathématiquesFR198 papers
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- Horia Hulubei National Institute for R and D in Physics and Nuclear EngineeringRO10 papers
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- Université Nantes Angers Le MansFR10 papers
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math-ph2010★ 35 cited
Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation
Vladimir Retakh, Vladimir Rubtsov
We construct solutions of an infinite Toda system and an analogue of the Painlev'e II equation over noncommutative differential division rings in terms of quasideterminants of Hank…
math-ph2010★ 12 cited
On the Heisenberg invariance and the Elliptic Poisson tensors
G. Ortenzi, V. Rubtsov, S. R. Tagne Pelap
We study different algebraic and geometric properties of Heisenberg invariant Poisson polynomial quadratic algebras. We show that these algebras are unimodular. The elliptic Sklyan…