ABSTRACT
We determine the root multiplicities of the Kac-Moody Lie algebras and
of indefinite type using a recursive root multiplicity formula due to Kang. We view both algebras as representations of its subalgebra
and then use the combinatorics of the irreducible representations of
to determine the root multiplicities.
ACKNOWLEDGMENTS
The second author's research was supported in part by NSA Grant MDA 904-00-1-0042.