Journal of Lie Theory

no. 1
Lattices and Harmonic Analysis on Some 2-Step Solvable Lie Groups
Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 77-89
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.
DOI: 10.5802/jolt.292
Classification: 22E40, 22E25
Keywords: lattice, solvable Lie groups 
@article{JOLT_2003_13_1_a5,
     author = {H. 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},
     doi = {10.5802/jolt.292},
     zbl = {1014.22011},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.292/}
}
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H. Huang. Lattices and Harmonic Analysis on Some 2-Step Solvable Lie Groups. Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 77-89. doi: 10.5802/jolt.292

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