1AT&T Labs-Research, 180 Park Avenue, Florham Park, NJ 07932, U.S.A. 2This paper deals with a class of 2-step solvable simply connected Lie groups G in which we construct certain lattices 3. It turns out that these are 4the lattices in such groups. We then apply our results to study the decomposition of the quasi-regular representation of G on G / 5. 6[
Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 77-89
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Huale Huang. Lattices and Harmonic Analysis on Some 2-Step Solvable Lie Groups. Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 77-89. http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a5/
@article{JOLT_2003_13_1_a5,
author = {Huale Huang},
title = {Lattices and {Harmonic} {Analysis} on {Some} {2-Step} {Solvable} {Lie} {Groups}},
journal = {Journal of Lie Theory},
pages = {77--89},
year = {2003},
volume = {13},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a5/}
}
TY - JOUR
AU - Huale Huang
TI - Lattices and Harmonic Analysis on Some 2-Step Solvable Lie Groups
JO - Journal of Lie Theory
PY - 2003
SP - 77
EP - 89
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a5/
ID - JOLT_2003_13_1_a5
ER -
%0 Journal Article
%A Huale Huang
%T Lattices and Harmonic Analysis on Some 2-Step Solvable Lie Groups
%J Journal of Lie Theory
%D 2003
%P 77-89
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a5/
%F JOLT_2003_13_1_a5
This paper deals with a class of 2-step solvable simply connected Lie groups G in which we construct certain lattices G. It turns out that these are all the lattices in such groups. We then apply our results to study the decomposition of the quasi-regular representation of G on G / G.
