On the Moore Formula of Compact Nilmanifolds
Copyright policy )On the Moore Formula of Compact Nilmanifolds
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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lattice subgroup, Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.), Mathematics - Rings and Algebras, Group Theory (math.GR), Rings and Algebras (math.RA), Kirillov theory, QA1-939, FOS: Mathematics, nilpotent Lie group, rational structure, Mathematics - Group Theory, Mathematics, unitary representation
lattice subgroup, Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.), Mathematics - Rings and Algebras, Group Theory (math.GR), Rings and Algebras (math.RA), Kirillov theory, QA1-939, FOS: Mathematics, nilpotent Lie group, rational structure, Mathematics - Group Theory, Mathematics, unitary representation
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