Irreducible linear representation

From Groupprops
Revision as of 03:00, 27 August 2007 by Vipul (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

This article describes a property to be evaluated for a linear representation of a group, i.e. a homomorphism from the group to the general linear group of a vector space over a field


Symbol-free definition

A linear representation of a group is said to be irreducible if there is no proper nonzero invariant subspace for it.

Relation with other properties

Weaker properties