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@PHDTHESIS{Hoyer:1002384,
author = {Hoyer, Linda},
othercontributors = {Nebe, Gabriele and Geck, Meinolf and Fourier, Ghislain Paul
Thomas},
title = {{O}rthogonal determinants of finite groups of {L}ie type},
school = {RWTH Aachen University},
type = {Dissertation},
address = {Aachen},
publisher = {RWTH Aachen University},
reportid = {RWTH-2025-00497},
pages = {1 Online-Ressource : Illustrationen},
year = {2024},
note = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
University 2025; Dissertation, RWTH Aachen University, 2024},
abstract = {An $orthogonal$ representation of a finite group $G$ is a
homomorphism $\rho:G \to \mathrm{GL}_n(K)$, for a natural
number $n$ and a field $K \subseteq \mathbb{R}$.
Analogously, we say a character $\chi$ of $G$ is orthogonal
if any corresponding representation is orthogonal.Nebe
(2022) showed that for an orthogonal character $\chi \in
\mathrm{Irr}(G)$ of even degree ($\chi \in
\mathrm{Irr}^+(G)$), there exists a unique element},
cin = {114710 / 110000},
ddc = {510},
cid = {$I:(DE-82)114710_20140620$ / $I:(DE-82)110000_20140620$},
pnm = {TRR 195: Symbolische Werkzeuge in der Mathematik und ihre
Anwendung (286237555)},
pid = {G:(GEPRIS)286237555},
typ = {PUB:(DE-HGF)11},
doi = {10.18154/RWTH-2025-00497},
url = {https://publications.rwth-aachen.de/record/1002384},
}
Gast ::