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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N. Ray (1971)
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Dusa McDuff (1984)
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Yael Karshon (1994)
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V. Guillemin, S. Sternberg (1989)
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Augustin Banyaga (1980)
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Bekka, M.B., Neuhauser, M. (2002)
Journal of Lie Theory
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Roger H. Dye (1980)
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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...