Journal of Lie Theory

no. 3
The Isometry Group of the 4-Dimensional Oscillator Group
Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 711-733
For each left invariant Riemannian metric on the oscillator group, we determine the Ricci transformation and the full isometry group.
DOI: 10.5802/jolt.1357
Classification: 53C30, 53C35, 53C20
Keywords: Oscillator group, Riemannian metric, Ricci transformation, isometry 
@article{JOLT_2024_34_3_a11,
     author = {M. Ait Ben Haddou and Y. Ayad},
     title = {The {Isometry} {Group} of the {4-Dimensional} {Oscillator} {Group}},
     journal = {Journal of Lie Theory},
     pages = {711--733},
     year = {2024},
     volume = {34},
     number = {3},
     doi = {10.5802/jolt.1357},
     zbl = {1559.53056},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1357/}
}
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M. Ait Ben Haddou; Y. Ayad. The Isometry Group of the 4-Dimensional Oscillator Group. Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 711-733. doi: 10.5802/jolt.1357

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