Moscow Mathematical Journal

Volume 13, Issue 2, April–June 2013 pp. 315–343.

Categorification of Highest Weight Modules over Quantum Generalized Kac–Moody Algebras

Authors: Seok-Jin Kang (1), Masaki Kashiwara (2) and Se-jin Oh (3)
Author institution: (1) Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, 599 Gwanak-ro, Gwanak-gu, Seoul 151-747, Korea
(2)
Summary:

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

2010 Mathematics Subject Classification. 05E10, 16G99, 81R10.

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