irreducible representation
Technical term in group representation theory. Refers to a representation that has no nontrivial proper subrepresentations.
The classification of irreducible representations of finite groups is an important problem.
This representation can be decomposed into a direct sum of two irreducible representations.
General term for representation in mathematics; 既約表現 specifies an irreducible one.
Antonym: reducible representation, which can be decomposed into smaller representations.
Compound of 既約 (irreducible) and 表現 (representation), a calque from English or German mathematical terminology.