On the restriction of Deligne-Lusztig characters

Reeder, Mark

doi:10.1090/S0894-0347-06-00540-6

On the restriction of Deligne-Lusztig characters
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by Mark Reeder

J. Amer. Math. Soc. 20 (2007), 573-602

DOI: https://doi.org/10.1090/S0894-0347-06-00540-6

Published electronically: July 14, 2006

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Abstract:

We study the multiplicities of Deligne-Lusztig characters upon restriction from a finite reductive group to a finite reductive subgroup. The result is a qualitative formula for the growth of multiplicities in terms of complexity. For restrictions from $SO_{2n+1}$ to $SO_{2n}$ we get exact multiplicities.

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