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Spinoriality of orthogonal representations of reductive groups
Representation Theory ( IF 0.7 ) Pub Date : 2020-09-16 , DOI: 10.1090/ert/552
Rohit Joshi , Steven Spallone

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)$.


中文翻译:

还原基团正交表示的自旋性

摘要:让我们$ G $$ F $特征为0的场上建立一个连通的还原族,并在上建立一个正交表示。我们给出了确定何时可以举起双盖的标准。 $ \ varphi:G \ to \ operatorname {SO}(V)$$ F $$ \ varphi $ $ \ operatorname {Spin}(V)$
更新日期:2020-09-16
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