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      An easy proof of the Stone-von Neumann-Mackey theorem

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          Abstract

          The Stone-von Neumann-Mackey Theorem for Heisenberg groups associated to locally compact abelian groups is proved using the Peter-Weyl theorem and the theory of Fourier transforms for finite dimensional real vector spaces. A theorem of Pontryagin and van Kampen on the structure of locally compact abelian groups (which is evident in any particular case) is assumed.

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          Sur certains groupes d'opérateurs unitaires

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            Author and article information

            Journal
            03 December 2009
            Article
            10.1016/j.exmath.2010.06.001
            0912.0574
            bf603153-1975-4b3f-a382-44a6a1dcb8fa

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            History
            Custom metadata
            43-01
            Expositiones Mathematicae 29 (2011) 110-118
            10 pages
            math.RT math.NT

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