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

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
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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