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Lie Algebras and Classical Partition Identities

J. Lepowsky and S. Milne
Proceedings of the National Academy of Sciences of the United States of America
Vol. 75, No. 2 (Feb., 1978), pp. 578-579
Stable URL: http://www.jstor.org/stable/67828
Page Count: 2
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Abstract

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.

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