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

Howard Garland, M. S. Raghunathan

Type: Article

Publication Date: 1975-12-01

Citations: 40

DOI: https://doi.org/10.1073/pnas.72.12.4716

Abstract

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.

Locations

Proceedings of the National Academy of Sciences - View
PubMed Central - View
Europe PMC (PubMed Central) - View - PDF
PubMed - View

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