262 citations · 3.5k across the 155 of their papers we have counts for
8 papers · 1 filter
Yangians vs minimal W-algebras: a surprizing coincidence
Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi
We prove that the singularities of the -matrix of the minimal quantization of the adjoint representation of the Yangian of a finite dimensional simple Li…
On complexity of representations of quivers
Victor G. Kac
It is shown that, given a representation of a quiver over a finite field, one can check in polynomial time whether it is absolutely indecomposable.
p-reduced multicomponent KP hierarchy and classical W-algebras W(gl_N,p)
Sylvain Carpentier, Alberto De Sole, Victor G. Kac +2
For each partition p of an integer N \geq 2, consisting of r parts, an integrable hierarchy of Lax type Hamiltonian PDE has been constructed recently by some of us. In the present…
Poisson vertex algebra cohomology and differential Harrison cohomology
Bojko Bakalov, Alberto De Sole, Victor G. Kac +1
We construct a canonical map from the Poisson vertex algebra cohomology complex to the differential Harrison cohomology complex, which restricts to an isomorphism on the top degree…
Semisimple cyclic elements in semisimple Lie algebras
A. G. Elashvili, M. Jibladze, V. G. Kac
This paper is a continuation of the theory of cyclic elements in semisimple Lie algebras, developed by Elashvili, Kac and Vinberg. Its main result is the classification of semisimp…
On the structure of quantum vertex algebras
Alberto De Sole, Matteo Gardini, Victor G. Kac
A definition of a quantum vertex algebra, which is a deformation of a vertex algebra, was proposed by Etingof and Kazhdan in 1998. In a nutshell, a quantum vertex algebra is a brai…