An easy proof of the Stone-von Neumann-Mackey theorem
Representation Theory
2011-04-01 v1 Number Theory
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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Cite
@article{arxiv.0912.0574,
title = {An easy proof of the Stone-von Neumann-Mackey theorem},
author = {Amritanshu Prasad},
journal= {arXiv preprint arXiv:0912.0574},
year = {2011}
}
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10 pages