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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.

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Bibliografische gegevens
Hoofdauteurs: Lepowsky, J., Milne, S.
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: 1978
Onderwerpen:
Online toegang:https://ncbi.nlm.nih.gov/pmc/articles/PMC411298/
https://ncbi.nlm.nih.gov/pubmed/16592491
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