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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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Detalhes bibliográficos
Publicado no:Proc Natl Acad Sci U S A
Autor principal: Garland, Howard
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 1975
Assuntos:
Acesso em linha: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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