3 papers
math.QA2025
The principal W-algebra of
Zachary Fehily, Christopher Raymond, David Ridout
We study the structure and representation theory of the principal W-algebra of . The defining…
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…
math.RT2020
Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras
Zachary Fehily, Kazuya Kawasetsu, David Ridout
The Bershadsky-Polyakov algebras are the minimal quantum hamiltonian reductions of the affine vertex algebras associated to and their simple quotients have a long…