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Double covers of tori for p=2 and genuine functions
In his work on $L$-embeddings and double covers of tori over local fields, Kaletha associates to a maximal torus $S$ in a connected reductive group a canonical double cover $S(F)_{\pm}$ and introduces a genuine sign function $a_S$ associated to a genuine character of $S(F)_{\pm}$. We give two constr
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