68 citations · 119 across the 19 of their papers we have counts for
22 papers
Functorial constructions related to double Poisson vertex algebras
Tristan Bozec, Maxime Fairon, Anne Moreau
For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation…
Action of the automorphism group on the Jacobian of Klein's quartic curve
Dimitri Markushevich, Anne Moreau
Klein's simple group of order is the automorphism group of the plane quartic curve , called Klein quartic. By Torelli Theorem, the full automorphism group of the J…
Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau
We apply results from the geometry of nilpotent orbits and nilpotent Slodowy slices, together with modularity and asymptotic analysis of characters, to prove many new isomorphisms…
On the nilpotent orbits arising from admissible affine vertex algebras
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau
We give a simple description of the closure of the nilpotent orbits appearing as associated varieties of admissible affine vertex algebras in terms of primitive ideals.
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…
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…