Spectra of compact quotients of the oscillator group

DOI10.3842/SIGMA.2021.051MaRDI QIDQ2035738

Ines Kath, Mathias Fischer

Publication date: 25 June 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.00050

zbMATH Keywords

latticeLorentzian manifoldwave operatorsolvable Lie group

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Discrete subgroups of Lie groups (22E40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (2)

Critical metrics for quadratic curvature functionals on some solvmanifolds ⋮ Lattices in the four-dimensional split oscillator group

Cites Work

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• Les groupes oscillateurs et leurs réseaux. (Oscillator groups and their lattices)
• Character formulas and spectra of compact nilmanifolds
• Topics in harmonic analysis on solvable algebraic groups
• Harmonic analysis on compact solvmanifolds
• The identity component of the isometry group of a compact Lorentz manifold
• The representations of the oscillator group
• Characters of algebraic solvable groups
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Harmonic Analysis on Exponential Solvable Lie Groups
• Lattices of oscillator groups
• The determination of Gauss sums
• Merits and demerits of the orbit method
• On Frobenius Reciprocity for Unipotent Algebraic Groups Over Q
• Decomposition of the L 2 -Space of a General Compact Nilmanifold

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