The space of linear anti-symplectic involutions is a homogenous space
  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. 
Peter Albers, Urs Frauenfelder
math.SG math.DG