Categorification of highest weight modules over quantum generalized Kac-Moody algebras

Abstract

Let $U_q(\g)$ be a quantum generalized Kac-Moody algebra and let $V(\Lambda )$ be the integrable highest weight $U_q(\g)$-module with highest weight $\Lambda$. We prove that the cyclotomic Khovanov-Lauda-Rouquier algebra $R^{\Lambda }$ provides a categorification of $V(\Lambda )$.

References in corpus (3)

• 2-Kac-Moody algebras
• Graded decomposition numbers for cyclotomic Hecke algebras
• Categorification of Highest Weight Modules via Khovanov-Lauda-Rouquier Algebras

Cited by in corpus (1)

• Supercategorification of quantum Kac-Moody algebras II