Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Discrete series characters and two-structures
HTML articles powered by AMS MathViewer

by Rebecca A. Herb PDF
Trans. Amer. Math. Soc. 350 (1998), 3341-3369 Request permission

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.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 22E30, 22E45
  • Retrieve articles in all journals with MSC (1991): 22E30, 22E45
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
  • © Copyright 1998 American Mathematical Society
  • 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