L-groups and parameters for covering groups
L-groups and parameters for covering groups
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L 基团和覆盖基团的参数
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发表时间：
2015
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通讯作者：
M. Weissman
中科院分区：
文献类型：
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作者：
M. Weissman
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 'etale site, as they are used in the construction of the L-group.
