A Bruhat Decomposition for the Loop Space of a Compact Group: A New Approach to Results of Bott
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.
- Publication:
-
Proceedings of the National Academy of Science
- Pub Date:
- December 1975
- DOI:
- 10.1073/pnas.72.12.4716
- Bibcode:
- 1975PNAS...72.4716G