We introduce the notion of perfect bases for integrable highest weight modules over generalized Kac-Moody algebras and show that the colored oriented graphs arising from perfect bases are isomorphic to the highest weight crystals B(λ) over quantum generalized Kac-Moody algebras.
Bibliographical noteFunding Information:
This research was supported by KRF Grant # 2007-341-C00001.
This research was supported by BK21 Mathematical Sciences Division.
- Crystal bases
- Generalized Kac-Moody algebras
- Perfect bases