Categorification of Verma modules and indecomposable projective modules in the category ${\mathcal{I}}_{\mathfrak{g}}({\mathfrak{sl}}_2)$ for ${\mathfrak{sl}}_2$

Abstract

We categorify Verma and indecomposable projective modules in the category ${\mathcal{I}}_{\mathfrak{g}}({\mathfrak{sl}}_2)$ for ${\mathfrak{sl}}_2$ using a tensor product decomposition theorem of T. J. Enright and work of J. Chuang and R. Rouquier, A. Licata and A. Savage (Hecke algebras, finite general linear groups, and Heisenberg categorification) and M. Khovanov (Heisenberg algebra and a graphical calculus).

23 pages, submitted

References in corpus (2)

• Heisenberg algebra and a graphical calculus
• Categorification of the Heisenberg algebra and MacMahon function