Difference between revisions of "Reducible representation"
From Encyclopedia of Mathematics
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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 [[ | + | A [[Linear representation|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==== | ====References==== | ||
| − | + | * {{Ref|a1}} C.W. Curtis, I. Reiner, "Methods of representation theory", '''1–2''', Wiley (Interscience) (1981–1987) | |
Latest revision as of 13:50, 8 April 2023
A linear representation on a vector space $V$ over a field $k$ such that $V$ contains a proper non-zero invariant subspace.
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
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