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Restricting unipotent characters in special orthogonal groups

Published online by Cambridge University Press:  01 July 2015

Frank Himstedt
Affiliation:
Technische Universität München, Zentrum Mathematik – M11, Boltzmannstr. 3, 85748 Garching, Germany email himstedt@ma.tum.de
Felix Noeske
Affiliation:
Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany email Felix.Noeske@math.rwth-aachen.de

Abstract

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For all prime powers $q$ we restrict the unipotent characters of the special orthogonal groups $\text{SO}_{5}(q)$ and $\text{SO}_{7}(q)$ to a maximal parabolic subgroup. We determine all irreducible constituents of these restrictions for $\text{SO}_{5}(q)$ and a large part of the irreducible constituents for $\text{SO}_{7}(q)$.

Type
Research Article
Copyright
© The Author(s) 2015 

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