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

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

2009-12-03

arxiv.org/abs/0912.0574v1

Expositiones Mathematicae 29 (2011) 110-118

Mathematics

Representation Theory

10 pages

Scientific paper

10.1016/j.exmath.2010.06.001

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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