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

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

2003-02-28

arxiv.org/abs/quant-ph/0302200v3

Int.J.Geom.Meth.Mod.Phys. 3 (2006) 233-267

Physics

Quantum Physics

LaTex file, no figures, 40 pages (minor additions and corrections)

Scientific paper

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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