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Harmonic analysis of linear fields on the nilgeometric cosmological model
2004
Journal of Mathematical Physics
To analyze linear field equations on a locally homogeneous spacetime by means of separation of variables, it is necessary to set up appropriate harmonics according to its symmetry group. In this paper, the harmonics are presented for a spatially compactified Bianchi II cosmological model -- the nilgeometric model. Based on the group structure of the Bianchi II group (also known as the Heisenberg group) and the compactified spatial topology, the irreducible differential regular representations
doi:10.1063/1.1811373
fatcat:qg3lbsp2ufa37lnvzipaugjl3y