Abstract
Canonical representations for the hyperboloid X = G/H where G = SO0 (p, q), H = SO0(p, q − 1), are defined as the restriction to G of maximal degenerate series representations of the overgroup G = SL(n, R). We determine explicitly the interaction of Lie operators of G with operators intertwining canonical representations and representations of G associated with a cone.
Mathematics Subject Classification (2010). Primary 43A85; Secondary 22E46.
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© 2016 Springer International Publishing Switzerland
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Molchanov, V.F. (2016). Canonical Representations for Hyperboloids: an Interaction with an Overalgebra. In: Kielanowski, P., Ali, S., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-31756-4_13
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DOI: https://doi.org/10.1007/978-3-319-31756-4_13
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-31755-7
Online ISBN: 978-3-319-31756-4
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