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nlin.SI2026
Matrix Dressing Beyond Pfaff-Toda
Sylvain Carpentier, Marta Dell'Atti
We develop a matrix pseudodifference operator framework that places theAdler-Pfaff and Pfaff-Toda hierarchies in a common algebraic setting. The bi-infinite Adler-Pfaff hierarchy t…
nlin.SI2022★ 10 cited
Quantisations of the Volterra hierarchy
Sylvain Carpentier, Alexander V. Mikhailov, Jing Ping Wang
In this paper we explore a recently emerged approach to the problem of quantisation based on the notion of quantisation ideals. We explicitly prove that the nonabelian Volterra tog…