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Actions of relative Weyl groups II
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Cédric Bonnafé
Veröffentlicht/Copyright:
27. Juli 2005
Abstract
The aim of this second part is to compute explicitly the Lusztig restriction of the characteristic function of a regular unipotent class of a finite reductive group, improving slightly a theorem of Digne, Lehrer and Michel. We follow their proof but introduce new information, namely the computation of morphisms 
defined in the first part when v is a regular unipotent element. This new information is obtained by studying generalizations of the variety of companion matrices which were introduced by Steinberg.
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Published Online: 2005-07-27
Published in Print: 2005-05-25
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Artikel in diesem Heft
- On two conditions on characters and conjugacy classes in finite soluble groups
- Bounding the number of conjugacy classes of a permutation group
- Real conjugacy classes in algebraic groups and finite groups of Lie type
- The number of generators of finite p-groups
- Solvable groups with a given solvable length, and minimal composition length
- Actions of relative Weyl groups II
- Growth rates of amenable groups
Artikel in diesem Heft
- On two conditions on characters and conjugacy classes in finite soluble groups
- Bounding the number of conjugacy classes of a permutation group
- Real conjugacy classes in algebraic groups and finite groups of Lie type
- The number of generators of finite p-groups
- Solvable groups with a given solvable length, and minimal composition length
- Actions of relative Weyl groups II
- Growth rates of amenable groups
