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 -simple
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(Definition)
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A representation $V$ of $\Gamma$ is $\Gamma$ simple if either
- $V \cong W_1 \oplus W_2$ where $W_1$ $W_2$ are absolutely irreducible for $\Gamma$ and are $\Gamma$ isomorphic, or
- $V$ is non-absolutely irreducible for $\Gamma$
[GSS]
- 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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" -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  -simple, born on 2003-08-18, modified 2007-06-24.
Object id is 4612, canonical name is GammaSimple.
Accessed 2129 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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Pending Errata and Addenda
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