PlanetMath: $\Gamma$-simple

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$\Gamma$ -simple

(Definition)

A representation of $\Gamma$ is $\Gamma$ -simple if either

$V \cong W_1 \oplus W_2$ where , are absolutely irreducible for $\Gamma$ and are $\Gamma$ -isomorphic, or
is non-absolutely irreducible for $\Gamma$ .

[GSS]

Bibliography

GSS: Golubitsky, Martin. Stewart, Ian. Schaeffer, G. David.: Singularities and Groups in Bifurcation Theory (Volume II). Springer-Verlag, New York, 1988.

" $\Gamma$ -simple" is owned by mathcam. [ full author list (2) | owner history (1) ]

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Cross-references: irreducible, representation

This is version 3 of $\Gamma$ -simple, born on 2003-08-18, modified 2007-06-24.
Object id is 4612, canonical name is GammaSimple.
Accessed 1673 times total.

Classification:

AMS MSC:

22D05 (Topological groups, Lie groups :: Locally compact groups and their algebras :: General properties and structure of locally compact groups)

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