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math.RT2020
Simplicity of vacuum modules and associated varieties
Tomoyuki Arakawa, Cuipo Jiang, Anne Moreau
In this note, we prove that the universal affine vertex algebra associated with a simple Lie algebra is simple if and only if the associated variety of its unique si…
math.RT2020
Kostant principal filtration and paths in weight lattices
Nilamsari Kusumastuti, Anne Moreau
There are several interesting filtrations on the Cartan subalgebra of a complex simple Lie algebra coming from very different contexts: one is the principal filtration coming from…
math.RT2018
Arc spaces and chiral symplectic cores
Tomoyuki Arakawa, Anne Moreau
We introduce the notion of chiral symplectic cores in a vertex Poisson variety, which can be viewed as analogs of symplectic leaves in Poisson varieties. As an application we show…