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

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 $\mathbb{k}$-linear 2-categories.

51 pages: v3. Referee comments included. Improved explanations and better looking diagrams

References in corpus (1)

• 2-Kac-Moody algebras

Cited by in corpus (1)

• DG-Enhanced Hecke and KLR Algebras