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arXiv · 1704.08205

On 2-Verma modules for quantum $\mathfrak{sl}_2$

Grégoire Naisse·Pedro Vaz
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Abstract

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. In particular, we prove a uniqueness result about 2-Verma modules on $\Bbbk$-linear 2-categories.

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Grégoire Naisse, Pedro Vaz. 2018-01-30. On 2-Verma modules for quantum $\mathfrak{sl}_2$. https://arxiv.org/abs/1704.08205

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