On the Moore Formula of Compact Nilmanifolds

Details On the Moore Formula of Compact Nilmanifolds On the Moore Formula of Compact Nilmanifolds

2009-06-15

arxiv.org/abs/0906.2623v1

SIGMA 5 (2009), 062, 7 pages

Mathematics

Group Theory

Scientific paper

10.3842/SIGMA.2009.062

Let $G$ be a connected and simply connected two-step nilpotent Lie group and
$\Gamma$ a lattice subgroup of $G$. In this note, we give a new multiplicity
formula, according to the sense of Moore, of irreducible unitary
representations involved in the decomposition of the quasi-regular
representation ${\rm Ind}_{\Gamma}^G(1)$. Extending then the Abelian case.

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