Schur-Weyl Duality for Toroidal Algebras of Type $A$
Representation Theory
2024-07-12 v1
Abstract
We state and prove an analog of the Schur-Weyl duality for a quotient of the classical -toroidal Lie algebra of type . We then provide a method to extend this duality to the -toroidal case, .
Cite
@article{arxiv.2407.08004,
title = {Schur-Weyl Duality for Toroidal Algebras of Type $A$},
author = {Vyjayanthi Chari and Lauren Grimley and Zongzhu Lin and Chad R. Mangum and Christine Uhl and Evan Wilson},
journal= {arXiv preprint arXiv:2407.08004},
year = {2024}
}