57 citations · 353 across the 28 of their papers we have counts for
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nlin.SI2022
Adler-Oevel-Ragnisco type operators and Poisson vertex algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
The theory of triples of Poisson brackets and related integrable systems, based on a classical R-matrix R in End_F(g), where g is a finite dimensional associative algebra over a fi…
nlin.SI2021
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…
nlin.SI2021★ 3 cited
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…