46 citations · 91 across the 4 of their papers we have counts for
4 papers
Unitarity of minimal -algebras and their representations I
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
We begin a systematic study of unitary representations of minimal -algebras. In particular, we classify unitary minimal -algebras and make substantial progress in classificat…
Dirac reduction for Poisson vertex algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
We construct an analogue of Dirac's reduction for an arbitrary local or non-local Poisson bracket in the general setup of non-local Poisson vertex algebras. This leads to Dirac's r…
Classical W-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents
Alberto De Sole, Victor G. Kac, Daniele Valeri
We derive explicit formulas for lambda-brackets of the affine classical W-algebras attached to the minimal and short nilpotent elements of any simple Lie algebra g. This is used to…
Freely generated vertex algebras and non-linear Lie conformal algebras
Alberto De Sole, Victor Kac
We introduce the notion of a non--linear Lie conformal superalgebra and prove a PBW theorem for its universal enveloping vertex algebra. We also show that conversely any graded fre…