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Article overview
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On the unipotent support of character sheave | Meinolf Geck
; David Hézard
; | Date: |
1 Oct 2007 | Abstract: | Let $G$ be a connected reductive group over $F_q$, where $q$ is large enough
and the center of $G$ is connected. We are concerned with Lusztig’s theory of
{em character sheaves}, a geometric version of the classical character theory
of the finite group $G(F_q)$. We show that under a certain technical condition,
the restriction of a character sheaf to its {em unipotent support} (as defined
by Lusztig) is either zero or an irreducible local system. As an application,
the generalized Gelfand-Graev characters are shown to form a $$-basis of the
$$-module of unipotently supported virtual characters of $G(F_q)$ (Kawanaka’s
conjecture). | Source: | arXiv, 0710.0296 | Services: | Forum | Review | PDF | Favorites |
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