Springer Online Journal Archives 1860-2000
Abstract Wigner's classification of irreducible corepresentations into three types is generalised to irreducible multiplier corepresentations. Representations of Types I, II, and III have commutants isomorphic toR,H, andC, respectively. The more general problem of relating irreducible multiplier corepresentations of a group to those of an invariant subgroup is considered, and some algebraic aspects of “generalized inducing” are described. The Wigner classification is then re-obtained as a very simple instance of the general theory.
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