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A Bruhat decomposition for the loop space of a compact group: A new approach to results of Bott

We give a new proof of Bott's result, that the loop space of a compact, simply connected, simple Lie group has a cellular decomposition of a certain type. In particular, one obtains the Poincaré polynomial for the loop space and Bott periodicity for the unitary group.

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Pubblicato in:Proc Natl Acad Sci U S A
Autori principali: Garland, Howard, Raghunathan, M. S.
Natura: Artigo
Lingua:Inglês
Pubblicazione: National Academy of Sciences 1975
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Accesso online:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC388799/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592292/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.72.12.4716
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