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- W1530175567 abstract "Langlands has described the irreducible admissible representations of $T$, when $T$ is the group of points of an algebraic torus over a local field. Also, Langlands described the automorphic representations of $T_{mathbb A}$ when $T_{mathbb A}$ is the group of adelic points of an algebraic torus over a global field $F$. We describe irreducible (in the local setting) and automorphic (in the global setting) $epsilon$-genuine representations for covers of tori, also known as metaplectic tori, which arise from a framework of Brylinski and Deligne. In particular, our results include a description of spherical Hecke algebras in the local unramified setting, and a global multiplicity estimate for automorphic representations of covers of split tori. For automorphic representations of covers of split tori, we prove a multiplicity-one theorem." @default.
- W1530175567 created "2016-06-24" @default.
- W1530175567 creator A5067743265 @default.
- W1530175567 date "2014-06-14" @default.
- W1530175567 modified "2023-09-27" @default.
- W1530175567 title "Covers of tori over local and global fields" @default.
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