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The space of linear anti-symplectic involutions is a homogenous space

Published 10 Aug 2012 in math.SG and math.DG | (1208.2126v2)

Abstract: In this note we prove that the space of linear anti-symplectic involutions is the homogenous space $Gl(n,\R)\Sp(n)$. This result is motivated by the study of symmetric periodic orbits in the restricted 3-body problem.

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