3 papers
math.DG2023
Flat coordinates of algebraic Frobenius manifolds in small dimensions
Misha Feigin, Daniele Valeri, Johan Wright
Orbit spaces of the reflection representation of finite irreducible Coxeter groups provide polynomial Frobenius manifolds. Flat coordinates of the Frobenius metric are Saito po…
math-ph2023
Poisson vertex algebras and Hamiltonian PDE
Alberto De Sole, Victor G. Kac, Daniele Valeri
We discuss the theory of Poisson vertex algebras and their generalizations in relation to integrability of Hamiltonian PDE. In particular, we discuss the theory of affine classical…
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…