Spinoriality of orthogonal representations of GLn(𝔽q)

We determine which orthogonal representations $V$ of ${GL}_{n} (𝔽_{q})$ lift to the double cover $Pin (V)$ of the orthogonal group $O (V)$ . We cover all $n \geq 1$ and prime powers $q$ , except for $(n, q) = (3, 4)$ .

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Keywords

orthogonal representations, spinoriality, finite groups of Lie type

Mathematical Subject Classification

Primary: 20G05

Secondary: 20G40

Milestones

Received: 15 August 2020

Revised: 29 December 2020

Accepted: 13 January 2021

Published: 31 July 2021

Authors

Rohit Joshi
Bhaskaracharya Pratishthan Pune India

Steven Spallone
IISER Pune Pune India

Vol. 311, No. 2, 2021

Rohit Joshi and Steven Spallone

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification

Milestones

Authors