A cocycle formula for the quaternionic discrete series
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- by Robert W. Donley Jr. PDF
- Proc. Amer. Math. Soc. 131 (2003), 1943-1951 Request permission
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 $L^{2}$-cohomology. We give an explicit description of these harmonic forms for the quaternionic discrete series.References
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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
- Received by editor(s): January 22, 2002
- Published electronically: 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 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1943-1951
- MSC (2000): Primary 22E46, 53C65
- DOI: https://doi.org/10.1090/S0002-9939-02-06809-0
- MathSciNet review: 1955285