A Bruhat decomposition for the loop space of a compact group: A new approach to results of Bott
- 1 December 1975
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 72 (12), 4716-4717
- 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.Keywords
This publication has 1 reference indexed in Scilit:
- Dedekind's η-function and the cohomology of infinite dimensional Lie algebrasProceedings of the National Academy of Sciences, 1975