Generalized principal series representations of $SL(1+n,\mathbb {C})$
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- by Anthony H. Dooley and Genkai Zhang PDF
- Proc. Amer. Math. Soc. 125 (1997), 2779-2787 Request permission
Abstract:
We consider certain induced representations of the group $SL(n+1, \mathbb {C})$ realized on line bundles over the projective space of $\mathbb {C}^{n+1}$. We calculate the intertwining operators in the compact picture. We find all the unitarizable representations and determine the invariant norm.References
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Additional Information
- Anthony H. Dooley
- Affiliation: School of Mathematics, University of New South Wales, Kensington, New South Wales 2033, Australia
- Email: tony@solution.maths.unsw.edu.au
- Genkai Zhang
- Affiliation: Matematiska institutionen, Högskolan i Karlstad, S- 650 09 Karlstad, Sweden
- Email: genkai.zhang@hks.se
- Received by editor(s): September 26, 1995
- Received by editor(s) in revised form: April 9, 1996
- Additional Notes: Research sponsored by the Australian Research Council
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2779-2787
- MSC (1991): Primary 22E46, 43A90
- DOI: https://doi.org/10.1090/S0002-9939-97-03877-X
- MathSciNet review: 1396975