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Versal unfoldings of equivariant linear Hamiltonian vector fields

Published online by Cambridge University Press:  24 October 2008

Ian Melbourne
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77204-3476, USA

Abstract

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.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1993

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