10 citations · 15 across the 12 of their papers we have counts for
5 papers · 1 filter
Reduction and inverse-reduction functors I: standard -modules
Justine Fasquel, Ethan Fursman, David Ridout
Quantum hamiltonian reduction is a fundamental tool of conformal field theory and vertex algebra representation theory. It has traditionally been applied to study highest-weight mo…
On mode transition algebras for -graded vertex algebras and applications to bosonic ghosts
Katrina Barron, Justine Fasquel, Florencia Orosz Hunziker +1
We study the mode transition algebras and Zhu algebras in the setting of -graded vertex algebras, with particular focus on the Weyl vertex algebra at central charge 2 (…
On Virasoro-type reductions and inverse Hamiltonian reductions for -algebras and -algebras
Justine Fasquel, Vladimir Kovalchuk, Shigenori Nakatsuka
In this article, the Virasoro-type reduction and the corresponding inverse reductions are established for W-algebras associated with classical Lie type and nilpotent orbits of heig…
Connecting affine -algebras: A case study on
Justine Fasquel, Zachary Fehily, Ethan Fursman +1
We introduce the partial reductions and inverse Hamiltonian reductions between affine -algebras along the closure relations of associated nilpotent orbits in the case…
Modularity of admissible-level minimal models with denominator
Justine Fasquel, Christopher Raymond, David Ridout
We use the newly developed technique of inverse quantum hamiltonian reduction to investigate the representation theory of the simple affine vertex algebra $\mathsf{A}_{2}(\mathsf{u…