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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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Bibliografske podrobnosti
izdano v:Proc Natl Acad Sci U S A
Main Authors: Lepowsky, J., Milne, S.
Format: Artigo
Jezik:Inglês
Izdano: National Academy of Sciences 1978
Teme:
Online dostop:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC411298/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592491/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.75.2.578
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