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Restricting unipotent characters in special orthogonal groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  01 July 2015

Frank Himstedt  and
Felix Noeske
Frank Himstedt
Affiliation:
Technische Universität München, Zentrum Mathematik – M11, Boltzmannstr. 3, 85748 Garching, Germany email [email protected]
Felix Noeske
Affiliation:
Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany email [email protected]

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 $\text{SO}_{7}(q)$.

MSC classification

Primary: 20C15: Ordinary representations and characters 20C33: Representations of finite groups of Lie type
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 18 , Issue 1 , 2015 , pp. 456 - 488
Copyright
© The Author(s) 2015 

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