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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

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.

 

Transfer factors for Lie Algebras
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by Robert E. Kottwitz
Represent. Theory 3 (1999), 127-138
DOI: https://doi.org/10.1090/S1088-4165-99-00068-0
Published electronically: July 7, 1999

Abstract:

Let $G$ be a quasi-split connected reductive group over a local field of characteristic $0$, and fix a regular nilpotent element in the Lie algebra $\mathfrak g$ of $G$. A theorem of Kostant then provides a canonical conjugacy class within each stable conjugacy class of regular semisimple elements in $\mathfrak g$. Normalized transfer factors take the value $1$ on these canonical conjugacy classes.
References
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Bibliographic Information
  • Robert E. Kottwitz
  • Affiliation: Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, Illinois 60637
  • Email: kottwitz@math.uchicago.edu
  • Received by editor(s): April 29, 1999
  • Published electronically: July 7, 1999
  • © Copyright 1999 American Mathematical Society
  • Journal: Represent. Theory 3 (1999), 127-138
  • MSC (1991): Primary 22E50; Secondary 11S37
  • DOI: https://doi.org/10.1090/S1088-4165-99-00068-0
  • MathSciNet review: 1703328