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

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

2011-06-14

arxiv.org/abs/1106.2635v3

Mathematics

Representation Theory

Scientific paper

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 $V(\Lambda)$.

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