On the restriction of Deligne-Lusztig characters

Reeder, Mark¹

¹ Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02467

Journal of the American Mathematical Society, Tome 20 (2007) no. 2, pp. 573-602

Résumé

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.

Détail

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

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