Garland, Howard ; Raghunathan, M. S. (1975) A Bruhat decomposition for the loop space of a compact group: a new approach to results of Bott PNAS, 72 (12). pp. 4716-4717. ISSN 0027-8424
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Official URL: http://www.pnas.org/content/72/12/4716.short
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.
Item Type: | Article |
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Source: | Copyright of this article belongs to National Academy of Sciences. |
Keywords: | Bott Periodicity; Loop Spaces; Bruhat Cells; Lie Groups; Cohomology |
ID Code: | 39062 |
Deposited On: | 06 May 2011 11:20 |
Last Modified: | 06 May 2011 11:22 |
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