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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
[[chi]'.sub.j] (R) is the character of the appropriate transformation matrix relative to the operation R and [[chi].sub.i] (R) is the character relative to the operation R in the particular irreducible representation of a group G.
Association of physical properties of ferroic species of quasi crystals
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