The space of linear anti-symplectic involutions is a homogenous space
arXiv:1208.2126 · doi:10.1007/s00013-012-0461-4
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.
5 pages