ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The gradient property for bifurcation equations covariant with respect to a group representation that is reducible, but irreducible as a real representation, is examined. In this case, the Schur lemma does not hold in the usual form, and one is faced with problems not present in the irreducible case. It is shown how to handle these problems, and applications to the fundamental real representations of SO(2) and SU(2) are presented that, due to general group theoretical results, represent in a sense the more general situation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527240
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