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A cocycle formula for the quaternionic discrete series
Author(s):
Robert
W.
Donley Jr.
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1943-1951.
MSC (2000):
Primary 22E46, 53C65
Posted:
November 14, 2002
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Abstract:
Schmid's proof of the Kostant-Langlands conjecture for discrete series representations of a semisimple Lie group provides a Hilbert space realization of such representations in  -cohomology. We give an explicit description of these harmonic forms for the quaternionic discrete series.
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Additional Information:
Robert
W.
Donley
Jr.
Affiliation:
Department of Mathematics, University of North Texas, Denton, Texas 76203
Email:
rdonley@unt.edu
DOI:
10.1090/S0002-9939-02-06809-0
PII:
S 0002-9939(02)06809-0
Keywords:
Quaternionic discrete series,
harmonic forms,
matrix coefficients
Received by editor(s):
January 22, 2002
Posted:
November 14, 2002
Additional Notes:
The author was supported by MSRI. Research at MSRI was supported in part by NSF grant DMS-9810361
Communicated by:
Rebecca Herb
Copyright of article:
Copyright
2002,
American Mathematical Society
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