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DESCENTE DE SHINTANI ET RESTRICTION DES SCALAIRES

Published online by Cambridge University Press:  01 June 1999

FRANÇOIS DIGNE
FRANÇOIS DIGNE
Affiliation:
LAMFA, Université de Picardie, 33 rue Saint-Leu, 80039 Amiens Cedex, France, [email protected]
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Abstract

An interpretation is given of the Shintani descent from the points of a connected algebraic group over a finite field to its group of points over a subfield in terms of a Shintani descent between two different rational structures over the same finite field, using restriction of scalars. From this a generalization is deduced of a result of Gyoja's on the Shintani descent of Deligne–Lusztig characters of a finite group of Lie type.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 867 - 880
Copyright
The London Mathematical Society 1999

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