Connecting affine W-algebras: A case study on sl4

Fasquel J, Fehily Z, Fursman E, Nakatsuka S (2026)

Publication Type: Journal article

Publication year: 2026

Journal

Journal of Pure and Applied Algebra Elsevier

Book Volume: 230

Article Number: 108149

Journal Issue: 1

DOI: 10.1016/j.jpaa.2025.108149

Abstract

We introduce a new technique to describe partial reductions and inverse Hamiltonian reductions between affine W-algebras along the closure relations of associated nilpotent orbits in the case of sl4, 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.

Authors with CRIS profile

Shigenori Nakatsuka Lehrstuhl für Darstellungstheorie

Involved external institutions

The University of Melbourne AU Australia (AU) Institut de Mathématiques de Bourgogne (IMB) FR France (FR)

How to cite

APA:

Fasquel, J., Fehily, Z., Fursman, E., & Nakatsuka, S. (2026). Connecting affine W-algebras: A case study on sl4. Journal of Pure and Applied Algebra, 230(1). https://doi.org/10.1016/j.jpaa.2025.108149

MLA:

Fasquel, Justine, et al. "Connecting affine W-algebras: A case study on sl4." Journal of Pure and Applied Algebra 230.1 (2026).

BibTeX: Download