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Character sheaves and generalized Springer correspondence

Published online by Cambridge University Press:  22 January 2016

Anne-Marie Aubert
Anne-Marie Aubert*
Affiliation:
Institut de Mathématiques de Jussieu, U.M.R. 7586 du C.N.R.S., Projet Formes Automorphes, 175 rue du Chevaleret, F-75013, Paris, France, aubert@math.jussieu.fr
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Abstract

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Let G be a connected reductive algebraic group over an algebraic closure of a finite field of characteristic p. Under the assumption that p is good for G, we prove that for each character sheaf A on G which has nonzero restriction to the unipotent variety of G, there exists a unipotent class CA canonically attached to A, such that A has non-zero restriction on CA, and any unipotent class C in G on which A has non-zero restriction has dimension strictly smaller than that of CA.

Keywords

20G05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 170 , 2003 , pp. 47 - 72
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

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