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Representation Theory

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Transfer factors for Lie Algebras

Author: Robert E. Kottwitz
Journal: Represent. Theory 3 (1999), 127-138
MSC (1991): Primary 22E50; Secondary 11S37
Published electronically: July 7, 1999
MathSciNet review: 1703328
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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

Received by editor(s): April 29, 1999
Published electronically: July 7, 1999
Article copyright: © Copyright 1999 American Mathematical Society