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Schur-Weyl Duality for Toroidal Algebras of Type $A$ (2407.08004v1)
Published 10 Jul 2024 in math.RT
Abstract: We state and prove an analog of the Schur-Weyl duality for a quotient of the classical $2$-toroidal Lie algebra of type $A$. We then provide a method to extend this duality to the $m$-toroidal case, $m > 2$.
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