Transfer factors for Lie Algebras
- 7 July 1999
- journal article
- Published by American Mathematical Society (AMS) in Representation Theory of the American Mathematical Society
- Vol. 3 (6) , 127-138
- https://doi.org/10.1090/s1088-4165-99-00068-0
Abstract
Let G G be a quasi-split connected reductive group over a local field of characteristic 0 0 , and fix a regular nilpotent element in the Lie algebra g \mathfrak g of G G . A theorem of Kostant then provides a canonical conjugacy class within each stable conjugacy class of regular semisimple elements in g \mathfrak g . Normalized transfer factors take the value 1 1 on these canonical conjugacy classes.Keywords
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