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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Lusternik-Schnirelmann category of $\operatorname {Sp}(3)$
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by Lucía Fernández-Suárez, Antonio Gómez-Tato, Jeffrey Strom and Daniel Tanré PDF
Proc. Amer. Math. Soc. 132 (2004), 587-595 Request permission

Abstract:

We show that the Lusternik-Schnirelmann category of the symplectic group $\operatorname {Sp}(3)$ is $5$. This L-S category coincides with the cone length and the stable weak category.
References
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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
  • MR Author ID: 205734
  • Email: Daniel.Tanre@agat.univ-lille1.fr
  • Received by editor(s): March 20, 2002
  • Received by editor(s) in revised form: September 10, 2002
  • Published electronically: 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 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 587-595
  • MSC (2000): Primary 55M30; Secondary 22E20
  • DOI: https://doi.org/10.1090/S0002-9939-03-07019-9
  • MathSciNet review: 2022385