Abstract
Let Uq (g) be a quantum generalized Kac-Moody algebra and let V (Λ) be the integrable highest weight Uq (g)-module with highest weight Λ. We prove that the cyclotomic Khovanov-Lauda-Rouquier algebra RΛ provides a categorification of V (Λ).
Original language | English |
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Pages (from-to) | 315-343 |
Number of pages | 29 |
Journal | Moscow Mathematical Journal |
Volume | 13 |
Issue number | 2 |
DOIs | |
State | Published - 2013 |
Keywords
- Categorification
- Cyclotomic quotient
- Khovanov-lauda-rouquier algebras
- Quantum generalized Kac-Moody algebras