46 citations · 97 across the 5 of their papers we have counts for
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math-ph2013★ 21 cited
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…
math-ph2013★ 19 cited
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…