Connecting affine W-algebras: A case study on \mathfraksl₄

2024/08/25 by Fasquel, Justine, Fehily, Zachary, Fursman, Ethan +1
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2408.13785

Abstract

We introduce the partial reductions and inverse Hamiltonian reductions between affine W-algebras along the closure relations of associated nilpotent orbits in the case of \mathfraksl₄, fulfilling all the missing constructions in the literature. We also apply the partial reductions to modules in the Kazhdan-Lusztig category and show compatibility with the usual reductions of Weyl modules.

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