Beta extensions and cuspidal types for p-adic spin groups

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• 作者：Dinh Van Ngo
• 关键词：Mathematics Subject Classification22E50
• 刊名：manuscripta mathematica
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：152
• 期：3-4
• 页码：513-531
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Algebraic Geometry; Topological Groups, Lie Groups; Geometry; Number Theory; Calculus of Variations and Optimal Control; Optimization;
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-1785
• 卷排序：152

文摘

Let \(\widehat{G}\) be a spin group over a locally compact non-archimedean local field F of odd residual characteristic. When F has characteristic zero we define \(\beta \)-extensions of the semisimple characters for \(\widehat{G}\). Then we contruct cuspidal types for many new supercuspidal representations of \(\widehat{G}\).