Showing math.RTShow all
3 papers · 1 filter
math.RT2018
Local and non-local multiplicative Poisson vertex algebras and differential-difference equations
Alberto De Sole, Victor G. Kac, Daniele Valeri +1
We develop the notions of multiplicative Lie conformal and Poisson vertex algebras, local and non-local, and their connections to the theory of integrable differential-difference H…
math.RT2018
Poisson -brackets for differential-difference equations
Alberto De Sole, Victor G. Kac, Daniele Valeri +1
We introduce the notion of a multiplicative Poisson -bracket, which plays the same role in the theory of Hamiltonian differential-difference equations as the usual Poisson -b…
math.RT2018
Generators of the quantum finite W-algebras in type A
Alberto De Sole, Laura Fedele, Daniele Valeri
We prove a conjecture proposed in [DSKV16] describing the Lax type operator L(z) for the quantum finite W-algebras of gl_N in terms of a PBW generating system for the W-algebra. In…