EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 13, No. 1, pp. 77--89 (2003)

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Lattices and Harmonic Analysis on Some 2-Step Solvable Lie Groups

Huale Huang

Huale Huang
AT&T Labs-Research
180 Park Ave
Building 103, Room C258
Florham Park, NJ 07932
email:huale@research.att.com

Abstract: This paper deals with a class of 2-step solvable simply connected Lie groups $G$ in which we construct certain lattices $\Gamma$. It turns out that these are {\it all} the lattices in such groups. We then apply our results to study the decomposition of the quasi-regular representation of $G$ on $G/\Gamma$.

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Electronic fulltext finalized on: 22 Nov 2002. This page was last modified: 3 Jan 2003.

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