32 citations · 138 across the 14 of their papers we have counts for
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Quasi-symmetric functions and the KP hierarchy
Aristophanes Dimakis, Folkert Muller-Hoissen
Quasi-symmetric functions show up in an approach to solve the Kadomtsev-Petviashvili (KP) hierarchy. This moreover features a new nonassociative product of quasi-symmetric function…
A new approach to deformation equations of noncommutative KP hierarchies
Aristophanes Dimakis, Folkert Muller-Hoissen
Partly inspired by Sato's theory of the Kadomtsev-Petviashvili (KP) hierarchy, we start with a quite general hierarchy of linear ordinary differential equations in a space of matri…
Algebraic identities associated with KP and AKNS hierarchies
Aristophanes Dimakis, Folkert Muller-Hoissen
Explicit KP and AKNS hierarchy equations can be constructed from a certain set of algebraic identities involving a quasi-shuffle product.
Automorphisms of associative algebras and noncommutative geometry
Aristophanes Dimakis, Folkert Muller-Hoissen
A class of differential calculi is explored which is determined by a set of automorphisms of the underlying associative algebra. Several examples are presented. In particular, diff…