FINE DISINTEGRATION OF THE LEFT REGULAR REPRESENTATION

被引：3

作者：

Ludwig, Jean ^{[1
]}

Molitor-Braun, Carine ^{[2
]}

机构：

[1] Univ Metz, Dept Math, F-57045 Metz 1, France

[2] Univ Luxembourg, Math Lab, 162A,Ave Faiencerie, L-1511 Luxembourg, Luxembourg

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2005年 / 4卷 / 06期

关键词：

Disintegration; left regular representation; Heisenberg group;

D O I：

10.1142/S0219498805001484

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H-n be the (2n + 1)-dimensional Heisenberg group. We decompose L-2(H-n) as the closure of a direct sum of infinitely many left translation invariant eigenspaces (for certain systems of partial differential equations). The restriction of the left regular representation to each one of these eigenspaces disintegrates into a direct integral of unitary irreducible representations, such that each infinite dimensional unitary irreducible representation appears with multiplicity 0 or 1 in this disintegration.

引用

页码：683 / 706

页数：24