Irreducible affine gl_n-modules with dominant highest weights become thin Yangian modules via restriction of periodic Gelfand-Tsetlin patterns to a permitted subset.
Affine Laumon space and contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$
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abstract
We study the action of the quantum group $U_q(\widehat{\mathfrak{gl}_n})$ on the equivariant K-theory of affine Laumon spaces. We show that, at any highest weight away from the critical level, this can be identified with the contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$, improving earlier results of Braverman-Finkelberg and Negu{\c{t}}. The proof uses a variant of stable envelopes first introduced by Maulik-Okounkov in the study of Nakajima quiver varieties.
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Athinization of irreducible $\widehat{\mathfrak{gl}}_n$-modules with dominant highest weights
Irreducible affine gl_n-modules with dominant highest weights become thin Yangian modules via restriction of periodic Gelfand-Tsetlin patterns to a permitted subset.