In this paper we study the superalgebra An, introduced by the authors in previous work on categorification of Verma modules for quantum sl2. The superalgebra An is akin to the nilHecke algebra, and shares similar properties. We also prove a uniqueness result about 2-Verma modules on k-linear 2-categories
Dos Santos Santana Forte Vaz, P., & Naisse, G. (2018). On 2-Verma modules for quantum sl(2). Selecta Mathematica, 2018, 1-51. https://doi.org/10.1007/s00029-018-0397-z (Original work published 2018)