Square integrable projective representations and square integrable representations modulo a relatively central subgroup (I): basic results

P. Aniello

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arXiv · quant-ph/0302200

Square integrable projective representations and square integrable representations modulo a relatively central subgroup (I): basic results

P. Aniello

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Abstract

We introduce the notion of square integrable group representation modulo a relatively central subgroup and, establishing a link with square integrable projective representations, we prove a generalization of a classical theorem of Duflo and Moore. As an example, we apply the results obtained to the Weyl-Heisenberg group.

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P. Aniello. 2003-04-05. Square integrable projective representations and square integrable representations modulo a relatively central subgroup (I): basic results. https://arxiv.org/abs/quant-ph/0302200

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