Abstract
We present a one-to-one correspondence between equivalence classes of unitary irreducible representations and coadjoint orbits for a class of pro-Lie groups including all connected locally compact nilpotent groups and arbitrary infinite direct products of nilpotent Lie groups.
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Beltiţǎ, D., Zergane, A. (2019). Coadjoint Orbits in Representation Theory of pro-Lie Groups. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVI. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01156-7_31
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DOI: https://doi.org/10.1007/978-3-030-01156-7_31
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-01155-0
Online ISBN: 978-3-030-01156-7
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