Lie algebras and classical partition identities.
In this paper we interpret Macdonald's unspecialized identities as multivariable vector partition theorems and we relate the well-known Rogers-Ramanujan partition identities to the Weyl-Kac character formula for an infinite-dimensional Euclidean generalized Cartan matrix Lie algebra.
Lepowsky
J
J
Department of Mathematics, Yale University, New Haven, Connecticut 06520.
Milne
S
S