2 papers
math.RT2025
Reduction by stages for affine W-algebras
Naoki Genra, Thibault Juillard
Given a pair of nilpotent orbits in a simple Lie algebra, one can associate a pair of vertex algebras called affine W-algebras. Under some compatibility conditions on these orbits,…
math.RT2024
Reduction by stages for finite W-algebras
Naoki Genra, Thibault Juillard
Let be a simple Lie algebra: its dual space is a Poisson variety. It is well known that for each nilpotent element in , it is poss…