关于紧流形的Moore公式
On the Moore Formula of Compact Nilmanifolds
摘要：
设$G$是连通单连通二步幂零李群，$Γ$是$G$的格子群.本文根据Moore意义，给出了拟正则表示${\rm Ind}_Γ^G(1)$分解所涉及的不可约酉表示的一个新的重数公式。然后扩展阿贝尔的情况下。
英文摘要：
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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