Proceedings of the Centre for Mathematics and its Applications

On the representation theory of SU(2,1)

Christopher Meaney

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Abstract

In their paper on the Szegö map, Knapp and WaJlach [KW] remarked that in the case of those discrete series representations of SU(2, 1) which occur as the subquotient of three principal series representations, their methods provided only two of these. That is, the Szegö map built from the highest weight vector misses some occurrences of discrete series represen- · tations as quotients. In this note we use the extension of Szegö maps due to Gilbert, Stanton, Kunze, and Tomas [GKST] to investigate these further cases.

Article information

Source
Miniconference on Harmonic Analysis. M Cowling, C Meaney, and W Moran, eds. Proceedings of the Centre for Mathematical Analysis, v. 15. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1987), 167-175

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416336464

Mathematical Reviews number (MathSciNet)
MR935599

Zentralblatt MATH identifier
0635.22013

Citation

Meaney, Christopher. On the representation theory of SU(2,1). Miniconference on Harmonic Analysis, 167--175, Centre for Mathematical Analysis, The Australian National University, Canberra AUS, 1987. https://projecteuclid.org/euclid.pcma/1416336464


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