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invariant polynomial
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(Definition)
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An invariant polynomial is a polynomial $P$ that is invariant under a (compact) Lie group $\Gamma$ acting on a vector space $V$ Therefore $P$ is $\Gamma$ invariant polynomial if $P(\gamma x) = P(x)$ for all $\gamma \in \Gamma$ and $x \in V$
- GSS
- Golubitsky, Martin. Stewart, Ian. Schaeffer, G. David: Singularities and Groups in Bifurcation Theory (Volume II). Springer-Verlag, New York, 1988.
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"invariant polynomial" is owned by Daume.
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Cross-references: vector space, Lie group, compact, invariant, polynomial
There are 2 references to this entry.
This is version 3 of invariant polynomial, born on 2003-06-10, modified 2007-06-10.
Object id is 4337, canonical name is InvariantPolynomial.
Accessed 2894 times total.
Classification:
| AMS MSC: | 13A50 (Commutative rings and algebras :: General commutative ring theory :: Actions of groups on commutative rings; invariant theory) |
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Pending Errata and Addenda
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