reducible representation of a group

reducible representation of a group

[ri¦düs·ə·bəl ‚rep·rə·zen′tā·shən əv ə ‚grüp]
(mathematics)
A representation of a group as a family of linear operators on a vector space V such that there is a proper closed subspace of V that is invariant under these operators.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.