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Dedekind's η-function and the cohomology of infinite dimensional Lie algebras

We compute the cohomology of certain infinite dimensional Lie algebras which are subalgebras of Lie algebras introduced by Moody and Kac. We note a relation between our results and the cohomology of loop spaces of compact groups. Finally, we derive, by Euler-Poincaré, identities of Macdonald for pow...

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Publicado en:Proc Natl Acad Sci U S A
Autor principal: Garland, Howard
Formato: Artigo
Lenguaje:Inglês
Publicado: National Academy of Sciences 1975
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Acceso en línea:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC432793/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592258/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.72.7.2493
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