Abstract
Consider a linear representation of a compact Lie group G on a vector space M, and a differentiable function f(x) on M invariant under this representation. We will show that the G-invariance of f(x) can be used to determine its critical points (those where the gradient vanishes).
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© 1993 Springer-Verlag Berlin Heidelberg
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Schwarz, A.S. (1993). Extrema of Symmetric Functionals. In: Quantum Field Theory and Topology. Grundlehren der mathematischen Wissenschaften, vol 307. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02943-5_18
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DOI: https://doi.org/10.1007/978-3-662-02943-5_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08130-9
Online ISBN: 978-3-662-02943-5
eBook Packages: Springer Book Archive