4 papers
Double Poisson (vertex) algebra cohomology
Maxime Fairon, Daniele Valeri
A noncommutative (NC) version of Poisson geometry was initiated by Van den Bergh by introducing at the level of associative algebras the formalism of double Poisson brackets. Their…
Cohomology of Lie conformal algebroids
Alberto De Sole, Jiefeng Liu, Daniele Valeri
We study Lie conformal algebroids (LCAd) and their representations using the language of lambda-brackets and Lie conformal algebras. We describe several general constructions, such…
Multi-component Hamiltonian difference operators
Matteo Casati, Daniele Valeri
In this paper we study local Hamiltonian operators for multi-component evolutionary differential-difference equations. We address two main problems: the first one is the classifica…
Remarks on intersection numbers and integrable hierarchies. II. Tau-structure
Daniele Valeri, Di Yang
For systems of evolutionary partial differential equations the tau-structure is an important notion which originated from the deep relation between integrable systems and quantum f…