English

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

Representation Theory 2018-01-31 v4

Abstract

In this paper we study the superalgebra AnA_n, introduced by the authors in previous work on categorification of Verma modules for quantum sl2\mathfrak{sl}_2. The superalgebra AnA_n is akin to the nilHecke algebra, and shares similar properties. In particular, we prove a uniqueness result about 2-Verma modules on k\Bbbk-linear 2-categories.

Keywords

Cite

@article{arxiv.1704.08205,
  title  = {On 2-Verma modules for quantum $\mathfrak{sl}_2$},
  author = {Grégoire Naisse and Pedro Vaz},
  journal= {arXiv preprint arXiv:1704.08205},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-22T19:28:42.157Z