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Difference between revisions of "Reducible representation"

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A [[Linear representation|linear representation]] on a vector space <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/r/r080/r080410/r0804101.png" /> over a field <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/r/r080/r080410/r0804102.png" /> such that <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/r/r080/r080410/r0804103.png" /> contains a proper non-zero [[Invariant subspace|invariant subspace]].
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A [[Linear representation|linear representation]] on a vector space $V$ over a field $k$ such that $V$ contains a proper non-zero [[Invariant subspace|invariant subspace]].
  
  

Revision as of 15:16, 15 April 2014

A linear representation on a vector space $V$ over a field $k$ such that $V$ contains a proper non-zero invariant subspace.


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References

[a1] C.W. Curtis, I. Reiner, "Methods of representation theory" , 1–2 , Wiley (Interscience) (1981–1987)
How to Cite This Entry:
Reducible representation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Reducible_representation&oldid=31732
This article was adapted from an original article by A.I. Shtern (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
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