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TY - THES AU - Hoyer, Linda TI - Orthogonal determinants of finite groups of Lie type PB - RWTH Aachen University VL - Dissertation CY - Aachen M1 - RWTH-2025-00497 SP - 1 Online-Ressource : Illustrationen PY - 2024 N1 - Veröffentlicht auf dem Publikationsserver der RWTH Aachen University 2025 N1 - Dissertation, RWTH Aachen University, 2024 AB - 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 LB - PUB:(DE-HGF)11 DO - DOI:10.18154/RWTH-2025-00497 UR - https://publications.rwth-aachen.de/record/1002384 ER -