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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| Veröffentlicht in: | Proc Natl Acad Sci U S A |
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| Hauptverfasser: | , |
| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
National Academy of Sciences
1975
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| Schlagworte: | |
| Online-Zugang: | 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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