For any étale metaplectic cover of a reductive p-adic group, a cover of each extended pure inner form is constructed, and the paper shows the set of forms whose Weissman obstruction vanishes is a torsor under a Galois coinvariant group.
398, Soci\' e t\' e Math\' e matique de France, Paris, 2018, L-groups and the Langlands program for covering groups, pp
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What are the extended pure inner forms of a cover?
For any étale metaplectic cover of a reductive p-adic group, a cover of each extended pure inner form is constructed, and the paper shows the set of forms whose Weissman obstruction vanishes is a torsor under a Galois coinvariant group.