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nlin.SI2026
Integrable Volterra hierarchies over nonabelian algebras
J. P. Wang, S. Carpentier, A. V. Mikhailov
Known integrable systems with noncommutative dependent variables are typically formulated over free associative algebras, quantum algebras, or Grassmann algebras. For differential-…
nlin.SI2026
Arithmetic Supports of Lax Difference Hierarchies
Sylvain Carpentier
We classify monic finite-band scalar difference operators with independent coefficients admitting infinitely many support-preserving flows. We prove that such operators are complet…