57 citations · 353 across the 28 of their papers we have counts for
5 papers · 1 filter
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method
Boris Dubrovin, Daniele Valeri, Di Yang
For each affine Kac-Moody algebra of rank , , or , and for every choice of a vertex , , of the corresponding Dynkin diagram, by usi…
Double Multiplicative Poisson Vertex Algebras
Maxime Fairon, Daniele Valeri
We develop the theory of double multiplicative Poisson vertex algebras. These structures, defined at the level of associative algebras, are shown to be such that they induce a clas…
On Lax operators
Alberto De Sole, Victor G. Kac, Daniele Valeri
We define a Lax operator as a monic pseudodifferential operator of order , such that the Lax equations $\dfrac{\partial L(\partial)}{\partial t_k}=[(L^{\frac…
Integrable triples in semisimple Lie algebras
Alberto De Sole, Mamuka Jibladze, Victor G. Kac +1
We classify all integrable triples in simple Lie algebras, up to equivalence. The importance of this problem stems from the fact that for each such equivalence class one can constr…
Weakly nonlocal Poisson brackets: tools, examples, computations
Matteo Casati, Paolo Lorenzoni, Daniele Valeri +1
We implement an algorithm for the computation of Schouten bracket of weakly nonlocal Hamiltonian operators in three different computer algebra systems: Maple, Reduce and Mathematic…