On 2-Verma modules for quantum \mathfraksl₂

2017/04/26 by Grégoire Naisse, Naisse, Grégoire, Pedro Vaz +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1704.08205

openalex publication_date 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the superalgebra A_n, introduced by the authors in previous work on categorification of Verma modules for quantum \mathfraksl₂. 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.

Citations

• 2-Kac-Moody algebras

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