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arXiv · 0906.2623

On the Moore Formula of Compact Nilmanifolds

Hatem Hamrouni
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Abstract

Let $G$ be a connected and simply connected two-step nilpotent Lie group and $Γ$ 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 ${\rm Ind}_Γ^G(1)$. Extending then the Abelian case.

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Hatem Hamrouni. 2009-06-15. On the Moore Formula of Compact Nilmanifolds. https://doi.org/10.3842/sigma.2009.062

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