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Representation Theory

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

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Transfer factors for Lie Algebras
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by Robert E. Kottwitz PDF
Represent. Theory 3 (1999), 127-138 Request permission

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.
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Additional 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