Restricting unipotent characters in special orthogonal groups

Restricting unipotent characters in special orthogonal groups

For all prime powers q we restrict the unipotent characters of the special orthogonal groups SO_5(q) and SO_7(q) to a maximal parabolic subgroup. We determine all irreducible constituents of these restrictions for SO_5(q) and a large part of the irreducible constituents for SO_7(q).

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Veröffentlicht in:arXiv.org 2013-09
Hauptverfasser: Himstedt, Frank, Noeske, Felix
Format: Artikel
Sprache:eng
Schlagworte:
Constituents
Mathematics - Representation Theory
Subgroups
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Zusammenfassung:For all prime powers q we restrict the unipotent characters of the special orthogonal groups SO_5(q) and SO_7(q) to a maximal parabolic subgroup. We determine all irreducible constituents of these restrictions for SO_5(q) and a large part of the irreducible constituents for SO_7(q).
ISSN:2331-8422
DOI:10.48550/arxiv.1309.6135