Spinoriality of orthogonal representations of reductive groups

Joshi, Rohit; Spallone, Steven

doi:10.1090/ert/552

Spinoriality of orthogonal representations of reductive groups
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by Rohit Joshi and Steven Spallone

Represent. Theory 24 (2020), 435-469

DOI: https://doi.org/10.1090/ert/552

Published electronically: September 16, 2020

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Abstract:

Let $G$ be a connected reductive group over a field $F$ of characteristic $0$, and $\varphi : G \to \operatorname {SO}(V)$ an orthogonal representation over $F$. We give criteria to determine when $\varphi$ lifts to the double cover $\operatorname {Spin}(V)$.

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