# Reducible representation

From Encyclopedia of Mathematics

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