Joint Invariants of Linear Symplectic Actions

Abstract

We review computations of joint invariants on a linear symplectic space, discuss variations for an extension of group and space and relate this to other equivalence problems and approaches, most importantly to differential invariants.

arXiv commentIn this revision we added missing references, and essentially changed the presentation into a review. We corrected small errors, reduced the material on algebraic part, and extended it on geometric part. Thus we elaborate on known results from the classical invariant theory, discuss some extensions and draw relations to the differential invariants theory via symplectic invariant discretizations