L-群与覆叠群的参数
L-groups and parameters for covering groups
摘要：
我们将覆盖quasissplit约化群的朗兰兹程序，定义一个L-组与这样的覆盖。我们的工作与所有覆盖所产生的扩展准分裂约化群的$\mathbf{K}_2$ -类研究Brylinski和德利涅。我们使用这个L-群参数化真正的不可约表示在许多情况下，包括覆盖的分裂环面，unramified表示，和离散系列的双重覆盖的半单群$\mathbb R$。附录调查torsors和gerbes在étale网站上，因为他们被用于建设的L-群。
英文摘要：
We incorporate covers of quasisplit reductive groups into the Langlands program, defining an L-group associated to such a cover. We work with all covers that arise from extensions of quasisplit reductive groups by $\mathbf{K}_2$ -- the class studied by Brylinski and Deligne. We use this L-group to parameterize genuine irreducible representations in many contexts, including covers of split tori, unramified representations, and discrete series for double covers of semisimple groups over $\mathbb R$. An appendix surveys torsors and gerbes on the étale site, as they are used in the construction of the L-group.
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