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An upper bound for the Lusternik–Schnirelmann category of the symplectic group

Published online by Cambridge University Press:  17 May 2013

E. MACÍAS–VIRGÓS  and
M. J. PEREIRA–SÁEZ
E. MACÍAS–VIRGÓS
Affiliation:
Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela, 15782Spain. e-mail: quique.macias@usc.es
M. J. PEREIRA–SÁEZ
Affiliation:
Departamento de Economía Aplicada II, Universidade da Coruña, 15071Spain. e-mail: maria.jose.pereira@udc.es
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Abstract

We prove that the LS category of the symplectic group Sp(n) is bounded above by $(n+1 \choose 2)$. This is achieved by computing the number of critical levels of a height function.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 155 , Issue 2 , September 2013 , pp. 271 - 276
Copyright
Copyright © Cambridge Philosophical Society 2013 

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