Versal Unfoldings of Equivariant Linear Hamiltonian Vector Fields

Math. Proc. Camb. Philos. Soc. 114 (1993) 559-573

Ian Melbourne


We prove an equivariant version of Galin's theorem on versal deformations of infinitesimally symplectic matrices. Matrix families of codimension zero and one are classified, and the results are used to study the movement of eigenvalues in one parameter families.

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