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Guay's affine Yangians and non-rectangular $W$-algebras

Published 30 Dec 2022 in math.QA | (2301.00035v2)

Abstract: We construct a non-trivial homomorphism from the Guay's affine Yangian to the universal enveloping algebra of non-rectangular $W$-algebras of type $A$. In order to construct the homomorphism, we extend the Guay's affine Yangian and its coproduct.

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