irreducible representation of a group

irreducible representation of a group

[‚ir·ə′dü·sə·bəl ‚rep·rə·zən′tā·shən əv ə ′grüp]
(mathematics)
A representation of a group as a family of linear operators of a vector space V where there is no proper closed subspace of V invariant under these operators.
References in periodicals archive ?
i] (R) is the character relative to the operation R in the particular irreducible representation of a group G.