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Abstract
We determine the restriction of the Steinberg character of a finite symplectic group of odd characteristic to its maximal parabolic subgroup stabilizing a line. We relate this restriction to the tensor product of a Weil character with the Steinberg character. As an application we prove that Donovan's conjecture has a positive answer for unipotent l-blocks of the six-dimensional symplectic groups of odd characteristic when l > 3.
Received: 2004-11-08
Revised: 2004-12-20
Published Online: 2006-05-16
Published in Print: 2006-03-21
© Walter de Gruyter
