Dual topology of the Heisenberg motion groups

Majdi Ben Halima () and Aymen Rahali ()
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Majdi Ben Halima: University of Sfax
Aymen Rahali: University of Sfax

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 4, 513-530

Abstract: Abstract Let ℍ n be the (2n + 1)-dimensional Heisenberg group, and let T n be the n-dimensional torus acting on ℍ n by automorphisms. In this paper, we describe the space of admissible coadjoint orbits of the Heisenberg motion group G n = T n ⋉ ℍ n and we determine the topology of this space. We show that the bijection between the unitary dual Ĝ n of G n and its admissible coadjoint orbit space is a homeomorphism.

Keywords: Heisenberg motion group; induced representation; coadjoint orbit (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0078-3

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