Analysis of some monomial representations of exponential solvable Lie groups

被引：0

作者：

Baklouti, A. ^{[1
]}

Hamrouni, H. ^{[1
]}

Khlif, F. ^{[1
]}

机构：

[1] Fac Sci Sfax, Dept Math, Sfax 3038, Tunisia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2006年 / 13卷 / 04期

关键词：

D O I：

10.1134/S1061920806040017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let G be an exponential solvable Lie group and H an analytic subgroup of G. Let. chi be a unitary character of H and tau = Ind(H)(G)chi. We provide a necessary and a sufficient condition for the representation tau to split finitely on its isotopic components for adapted triplets. For the case in which H is maximal, we provide a concrete and smooth intertwining operator and its inverse for the disintegration of tau into irreducibles.

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页码：363 / 379

页数：17

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