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On 2-Verma modules for quantum \({\mathfrak {sl}_{2}}\)

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In this paper we study the superalgebra \(A_n\), introduced by the authors in previous work on categorification of Verma modules for quantum \({\mathfrak {sl}_{2}}\). The superalgebra \(A_n\) is akin to the nilHecke algebra, and shares similar properties. We also prove a uniqueness result about 2-Verma modules on \(\Bbbk \)-linear 2-categories.

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  1. Institut de Recherche en Mathématique et Physique, Université catholique de Louvain, Chemin du Cyclotron 2, 1348, Louvain-la-Neuve, Belgium

    Grégoire Naisse & Pedro Vaz

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  1. Grégoire Naisse
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  2. Pedro Vaz
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Correspondence to Pedro Vaz.

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Naisse, G., Vaz, P. On 2-Verma modules for quantum \({\mathfrak {sl}_{2}}\). Sel. Math. New Ser. 24, 3763–3821 (2018). https://doi.org/10.1007/s00029-018-0397-z

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