Abstract
The basic theme of this volume is that the symmetries of bifurcating systems impose strong restrictions on the form of their solutions and the way in which the bifurcation may take place. There are two major subthemes, which we might term “geometric” and “algebraic.” These lead us to introduce two pieces of mathematical machinery: group representation theory and equivariant singularity theory. The aim of this chapter is to describe, in a fairly concrete fashion, the requisite mathematical background. In this manner we hope to make the methods accessible to a wide audience.
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© 1988 Springer-Verlag New York, Inc.
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Golubitsky, M., Stewart, I., Schaeffer, D.G. (1988). Group-Theoretic Preliminaries. In: Singularities and Groups in Bifurcation Theory. Applied Mathematical Sciences, vol 69. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4574-2_2
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DOI: https://doi.org/10.1007/978-1-4612-4574-2_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8929-6
Online ISBN: 978-1-4612-4574-2
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