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The Lusternik-Schnirelmann category of
Author(s):
Lucía
Fernández-Suárez;
Antonio
Gómez-Tato;
Jeffrey
Strom;
Daniel
Tanré
Journal:
Proc. Amer. Math. Soc.
132
(2004),
587-595.
MSC (2000):
Primary 55M30;
Secondary 22E20
Posted:
June 12, 2003
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Abstract:
We show that the Lusternik-Schnirelmann category of the symplectic group is . This L-S category coincides with the cone length and the stable weak category.
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Additional Information:
Lucía
Fernández-Suárez
Affiliation:
Centro de Matemática (CMAT), Universidade do Minho (Gualtar), 4710 Braga, Portugal
Email:
lfernandez@math.uminho.pt
Antonio
Gómez-Tato
Affiliation:
Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela, 15706 Santiago de Compostela, España
Email:
agtato@usc.es
Jeffrey
Strom
Affiliation:
Department of Mathematics, Western Michigan University, 1903 W. Michigan Ave., Kalamazoo, Michigan 49008
Email:
jeffrey.strom@wmich.edu
Daniel
Tanré
Affiliation:
Département de Mathématiques, UMR 8524, Université de Lille~1, 59655 Villeneuve d'Ascq Cedex, France
Email:
Daniel.Tanre@agat.univ-lille1.fr
DOI:
10.1090/S0002-9939-03-07019-9
PII:
S 0002-9939(03)07019-9
Keywords:
Lusternik-Schnirelmann category,
Lie group
Received by editor(s):
March 20, 2002
Received by editor(s) in revised form:
September 10, 2002
Posted:
June 12, 2003
Additional Notes:
The first and second authors were partially supported by the MCT Research project BFM2000-0345
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2003,
American Mathematical Society
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