Geodesic
On the Moore Formula of Compact Nilmanifolds
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\operatorname{Ind}_\Gamma^G(1)$. Extending then the Abelian case.
Keywords: nilpotent Lie group; lattice subgroup; rational structure; unitary representation; Kirillov theory. 
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     author = {H. Hamrouni},
     title = {On the {Moore} {Formula} of {Compact} {Nilmanifolds}},
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H. Hamrouni. On the Moore Formula of Compact Nilmanifolds. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a61/

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