Skip to Main Content

Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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.

 

Two geometric character formulas for reductive Lie groups
HTML articles powered by AMS MathViewer

by Wilfried Schmid and Kari Vilonen
J. Amer. Math. Soc. 11 (1998), 799-867
DOI: https://doi.org/10.1090/S0894-0347-98-00275-6

Abstract:

In this paper we prove two formulas for the characters of representations of reductive groups. Both express the character of a representation $\pi$ in terms of the same geometric data attached to $\pi$. When specialized to the case of a compact Lie group, one of them reduces to Kirillov’s character formula in the compact case, and the other, to an application of the Atiyah-Bott fixed point formula to the Borel-Weil realization of the representation $\pi$.
References
Similar Articles
  • Retrieve articles in Journal of the American Mathematical Society with MSC (1991): 22Exx, 55-xx, 14-xx
  • Retrieve articles in all journals with MSC (1991): 22Exx, 55-xx, 14-xx
Bibliographic Information
  • Wilfried Schmid
  • Affiliation: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
  • Email: schmid@math.harvard.edu
  • Kari Vilonen
  • Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02254
  • MR Author ID: 178620
  • Email: vilonen@math.brandeis.edu
  • Received by editor(s): July 24, 1997
  • Additional Notes: The first author was partially supported by the NSF
    The second author was partially supported by the NSA and NSF
  • © Copyright 1998 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 11 (1998), 799-867
  • MSC (1991): Primary 22Exx, 55-xx, 14-xx
  • DOI: https://doi.org/10.1090/S0894-0347-98-00275-6
  • MathSciNet review: 1612634