%0 Thesis %A Hoyer, Linda %T Orthogonal determinants of finite groups of Lie type %I RWTH Aachen University %V Dissertation %C Aachen %M RWTH-2025-00497 %P 1 Online-Ressource : Illustrationen %D 2024 %Z Veröffentlicht auf dem Publikationsserver der RWTH Aachen University 2025 %Z Dissertation, RWTH Aachen University, 2024 %X An orthogonal representation of a finite group G is a homomorphism ρ:G → GL<sub>n</sub>(K), for a natural number n and a field K ⊆ \mathbbR. Analogously, we say a character χ of G is orthogonal if any corresponding representation is orthogonal.Nebe (2022) showed that for an orthogonal character χ ∈ Irr(G) of even degree (χ ∈ Irr<sup>+</sup>(G)), there exists a unique element %F PUB:(DE-HGF)11 %9 Dissertation / PhD Thesis %R 10.18154/RWTH-2025-00497 %U https://publications.rwth-aachen.de/record/1002384