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arXiv · 0809.1075

Lifting of Characters for Nonlinear Simply Laced Groups

Jeffrey Adams·Rebecca Herb
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Abstract

One aspect of the Langlands program for linear groups is lifting of characters, which relates virtual representations on a group $G$ with those on an endoscopic group for $G$. The goal of this paper is to extend this theory to nonlinear two-fold covers of real groups in the simply laced case. Suppose $\tG$ is a two-fold cover of a real reductive group $G$. The main result is that there is an operation, denoted $\Lift_G^{\tG}$, taking a stable virtual character of $G$ to 0 or a virtual genuine character of $\tG$, and $\Lift_G^{\tG}(Θ_π)$ may be explicitly computed if $π$ is a stable sum of standard modules.

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Jeffrey Adams, Rebecca Herb. 2008-09-05. Lifting of Characters for Nonlinear Simply Laced Groups. https://arxiv.org/abs/0809.1075

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