Discrete series characters and two-structures
Author:
Rebecca A. Herb
Journal:
Trans. Amer. Math. Soc. 350 (1998), 3341-3369
MSC (1991):
Primary 22E30, 22E45
DOI:
https://doi.org/10.1090/S0002-9947-98-01958-8
MathSciNet review:
1422607
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Abstract | References | Similar Articles | Additional Information
Abstract: Let $G$ be a connected semisimple real Lie group with compact Cartan subgroup. Harish-Chandra gave formulas for discrete series characters which are completely explicit except for certain interger constants appearing in the numerators. The main result of this paper is a new formula for these constants using two-structures. The new formula avoids endoscopy and stable discrete series entirely, expressing (unaveraged) discrete series constants directly in terms of (unaveraged) discrete series constants corresponding to two-structures of noncompact type.
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Additional Information
Rebecca A. Herb
Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland 20742
MR Author ID:
84600
Email:
rah@math.umd.edu
Received by editor(s):
April 8, 1996
Received by editor(s) in revised form:
October 4, 1996
Additional Notes:
Supported by NSF Grant DMS 9400797 and a University of Maryland GRB Semester Research Grant
Article copyright:
© Copyright 1998
American Mathematical Society