3 papers
math.QA2026
Deformed W-algebras and chiralized cluster seeds: subregular W-algebras and Inverse Quantum Hamiltonian Reduction
Mikhail Bershtein, Jean-Emile Bourgine, Ethan Fursman
The recently introduced formalism of chiral cluster seeds replaces quantum cluster variables with deformed vertex operators. In this framework, a decorated quiver associated with a…
math.QA2026
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…
math.QA2024
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…