5 citations · 6 across the 2 of their papers we have counts for
4 papers
An introduction to associative geometry with applications to integrable systems
Alberto Tacchella
The aim of these notes is to provide a reasonably short and "hands-on" introduction to the differential calculus on associative algebras over a field of characteristic zero. Follow…
Poisson-Nijenhuis structures on quiver path algebras
Claudio Bartocci, Alberto Tacchella
We introduce a notion of noncommutative Poisson-Nijenhuis structure on the path algebra of a quiver. In particular, we focus on the case when the Poisson bracket arises from a nonc…
On a family of quivers related to the Gibbons-Hermsen system
Alberto Tacchella
We introduce a family of quivers (labeled by a natural number ) and study the non-commutative symplectic geometry of the corresponding doubles . We…
On rational solutions of multicomponent and matrix KP hierarchies
Alberto Tacchella
We derive some rational solutions for the multicomponent and matrix KP hierarchies generalising an approach by Wilson. Connections with the multicomponent version of the KP/CM corr…