References
- Benkart , G.M. , Kang , S.J. and Misra , K.C. 1993 . Graded Lie algebras of Kac-Moody type . Adv. Math , 97 : 154 – 190 .
- Berman , S. and Moody , R.V. 1979 . Multiplicities in Lie algebras . Proc. Amer. Math. Soc , 76 : 223 – 228 .
- Cartan , H. and Eilenberg , S. 1956 . Homological Algebra , Princeton University Press .
- Garland , H. and Lepowsky , J. 1976 . Lie algebra homology and the Macdonald-Kac formulas . Invent.Math , 34 : 37 – 76 .
- Jacobson , N. 1979 . Lie algebras , New York : Dover .
- Kac , V.G. 1968 . Simple irreducible graded Lie algebras of finite growth . Math. USSR-Izv , 2 : 1271 – 1311 .
- Kac , V.G. 1990 . Infinite dimensional Lie algebras , Cambridge : Cambridge University Press .
- Kang , S.J. 1990 . Gradations and structure of Kac-Moody Lie algebras , Yale University . Ph.D. thesis
- Kang , S.J. 1994 . Root multiplicities of Kac-Moody algbras . Duke Math. J , 74 : 635 – 666 .
- Kang , S.J. and Kim , M.H. 1996 . “ Dimension formula for graded Lie algebras and its ap-plications ” . In Trans. Amer. Math. Soc , 96 – 51 . RIM-GARC preprint . to appear
- Liu , L.S. 1992 . Kostant's formula for Kac-Moody Lie algebras . J. Algebra , 149 : 155 – 178 .
- Moody , R.V. 1968 . A new class of Lie algebras . J. Algebra , 10 : 211 – 230 .
- Peterson D.H. Freudenthal-type formulas for root and weight multiplicities 1983 preprint