Journal of Lie Theory

no. 3
The Isometry Group of the 4-Dimensional Oscillator Group
Malika Ait Ben Haddou1; Youssef Ayad1
1Faculty of Sciences, Moulay Ismail University, Meknès, Morocco
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

Malika Ait Ben Haddou  1 ; Youssef Ayad  1

1 Faculty of Sciences, Moulay Ismail University, Meknès, Morocco 
Malika Ait Ben Haddou; Youssef 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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     title = {The {Isometry} {Group} of the {4-Dimensional} {Oscillator} {Group}},
     journal = {Journal of Lie Theory},
     pages = {711--733},
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