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

Identifieur interne : 002E66 ( Main/Exploration ); précédent : 002E65; suivant : 002E67

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

Auteurs : Howard Garland [États-Unis] ; M. S. Raghunathan [États-Unis]

Source :

Proceedings of the National Academy of Sciences of the United States of America [ 0027-8424 ] ; 1975.

RBID : PMC:388799

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.

Url:

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC388799

PubMed: 16592292
PubMed Central: 388799

Affiliations:

Le document en format XML

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

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

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