Symplectic modulary groups
M. Newman, J. Smart (1964)
Acta Arithmetica
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M. Newman, J. Smart (1964)
Acta Arithmetica
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Robert A. Proctor (1988)
Inventiones mathematicae
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Viktor L. Ginzburg (1992)
Mathematische Zeitschrift
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Yong-Geun Oh (1990)
Mathematische Zeitschrift
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Aleš Vavpetič, Antonio Viruel (2006)
Fundamenta Mathematicae
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We show that for n ≥ 3 the symplectic group Sp(n) is as a 2-compact group determined up to isomorphism by the isomorphism type of its maximal torus normalizer. This allows us to determine the integral homotopy type of Sp(n) among connected finite loop spaces with maximal torus.
Bekka, M.B., Neuhauser, M. (2002)
Journal of Lie Theory
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Helmut Hofer, Ivar Ekeland (1990)
Mathematische Zeitschrift
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Karl Friedrich Siburg (1993)
Manuscripta mathematica
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I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Svatopluk Krýsl (2012)
Commentationes Mathematicae Universitatis Carolinae
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Let be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one...