43 citations · 152 across the 26 of their papers we have counts for
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math.DG2008★ 12 cited
Platonic polyhedra tune the 3-sphere: Harmonic analysis on simplices
Peter Kramer
A spherical topological manifold of dimension n-1 forms a prototile on its cover, the (n-1)-sphere. The tiling is generated by the fixpoint-free action of the group of deck transfo…
quant-ph2008★ 1 cited
Quasiperiodic propagation in time of some classical/quantum systems: Nielsen's conserved quantity and Floquet properties
Peter Kramer, Tobias Kramer, Vladimir I. Man'ko
We consider classical and quantum propagators for two different time intervals. If these propagators follow one another in a Fibonacci sequence we get a discrete quasiperiodic syst…
gr-qc2008
Discrete Quantum Gravity: II. Simplicial complexes, irreps of SL(2,C), and a Lorentz invariant weight in a state sum model
P. Kramer, M. Lorente
In part I of [1] we have developed the tensor and spin representation of SO(4) in order to apply it to the simplicial decomposition of the Barrett-Crane model. We attach to each fa…