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.
Yale University, New Haven, Connecticut 06520.
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Garland
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Raghunathan