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- W4248578692 abstract "If the locally compact abelian group $G$ has a finite-dimensional unitary irreducible projective representation with factor system $omega$ (i.e. $G$ has an $omega$-rep), then a subgroup $G(omega )$ is defined which fulfils three roles. First, the square-root of the index of $G(omega )$ in $G$ is the dimension of every $omega$-rep. Secondly, the $omega$-reps of $G$ can be labelled by the dual group of $G(omega )$, up to unitary equivalence. Thirdly, the essential projective form of an $omega$-rep is determined by a unique projective representation of the finite group $G/G(omega )$." @default.
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- W4248578692 date "1973-11-01" @default.
- W4248578692 modified "2023-09-25" @default.
- W4248578692 title "On the Form of the Finite-Dimensional Projective Representations of an Infinite Abelian Group" @default.
- W4248578692 doi "https://doi.org/10.2307/2038859" @default.
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