7 citations · 10 across the 3 of their papers we have counts for
4 papers
Spectra of Compact Quotients of the Oscillator Group
Mathias Fischer, Ines Kath
This paper is a contribution to harmonic analysis of compact solvmanifolds. We consider the four-dimensional oscillator group , which is a semi-direct product of the t…
Symplectic Lie algebras with degenerate center
Mathias Fischer
Every symplectic Lie algebra with degenerate (including non-abelian nilpotent symplectic Lie algebras) has the structure of a quadratic extension. We give a standard model and desc…
Metric Symplectic Lie Algebras
Mathias Fischer
Every metric symplectic Lie algebra has the structure of a quadratic extension. We give a standard model and describe the equivalence classes on the level of corresponding quadrati…
Lattices of oscillator groups
Mathias Fischer
This paper is concerned with discrete, uniform subgroups (lattices) of oscillator groups, which are certain semidirect products of the Heisenberg group and the additive group of re…