Spinoriality of orthogonal representations of \(\operatorname{GL}_n( \mathbb{F}_q)\)

DOI10.2140/pjm.2021.311.369OpenAlexW3191495707MaRDI QIDQ2046726

Steven Spallone, Rohit Joshi

Publication date: 19 August 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06870

zbMATH Keywords

finite groups of Lie typeorthogonal representationsspinoriality

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items (2)

Stiefel Whitney classes for real representations of GL2(𝔽q) ⋮ Total Stiefel Whitney classes for real representations of \(\mathrm{GL}_n\) over \(\mathbb{F}_q\), \(\mathbb{R}\) and \(\mathbb{C}\)

Cites Work

• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Les constantes locales de l'équation fonctionnelle de la fonction L d'Artin d'une représentation orthogonale
• Representations of reductive groups over finite fields
• Stiefel-Whitney classes of real representations of finite groups
• Lifting orthogonal representations to spin groups and local root numbers
• Spinorial representations of symmetric groups
• On the cohomology and K-theory of the general linear groups over a finite field
• The Characters of the Finite General Linear Groups
• The Finite Simple Groups
• Spinoriality of orthogonal representations of reductive groups
• Spinorial Representations of Orthogonal Groups

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