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arXiv · 1010.2900

Transitive Subgroups of Transvections Acting on Some Symplectic Symmetric Spaces of Ricci Type

Michel Cahen·Simone Gutt·Amin D. Malik·John Rawnsley
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Abstract

Symmetric symplectic spaces of Ricci type are a class of symmetric symplectic spaces which can be entirely described by reduction of certain quadratic Hamiltonian systems in a symplectic vector space. We determine, in a large number of cases, if such a space admits a subgroup of its transvection group acting simply transitively. We observe that the simply transitive subgroups obtained are one dimensional extensions of the Heisenberg group.

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Michel Cahen, Simone Gutt, Amin D. Malik, John Rawnsley. 2010-10-14. Transitive Subgroups of Transvections Acting on Some Symplectic Symmetric Spaces of Ricci Type. https://doi.org/10.1016/j.geomphys.2011.02.016

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