\'Etale metaplectic covers of reductive group schemes
Abstract
Given a reductive group scheme G, we give a linear algebraic description of reduced \'etale 4-cocycles on its classifying stack B(G). These cocycles form a 2-groupoid, which we interpret as parameters of metaplectic covers of G. We use our linear algebraic description to define the Langlands dual of a metaplectic cover.
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