%0 Journal Article
%T On the Moore Formula of Compact Nilmanifolds
%A Hatem Hamrouni
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2009
%I National Academy of Science of Ukraine
%X Let G be a connected and simply connected two-step nilpotent Lie group and ¦£ 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 Ind_¦£^G(1). Extending then the Abelian case.
%K nilpotent Lie group
%K lattice subgroup
%K rational structure
%K unitary representation
%K Kirillov theory
%U http://dx.doi.org/10.3842/SIGMA.2009.062