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In group theory, an isotypical, primary or factor representation of a group G is a unitary representation such that any two subrepresentations have equivalent sub-subrepresentations. This is related to the notion of a primary or of a C*-algebra, or to the factor for a von Neumann algebra: the representation of G is isotypical iff is a factor. This term more generally used in the context of semisimple modules.
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