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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| Udgivet i: | Proc Natl Acad Sci U S A |
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| Hovedforfatter: | |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1975
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| Fag: | |
| Online adgang: | 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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