论文标题
SL（2）上非切片覆盖的局部系数和Gelfand-Graev表示
Local coefficients and Gelfand-Graev representations for non-split covers on SL(2)
论文作者
论文摘要
Krishnamurthy和Kutzko开发了一种纯粹的本地方法，以通过类型计算$ {\ rm sl}（2）$的Langlands-Shahidi本地系数，并覆盖La Bushnell-Kutzko。在本文中，我们将其方法扩展到非分类案例并完成项目。我们还研究了Gelfand-Graev表示的代数结构，该代数将Chan-Savin和Mishra-Pattanayak的结果推广到$ {\ rm SL}（2）（2）$，而不是非Archimidean本地领域的$。
A purely local approach has been developed by Krishnamurthy and Kutzko to compute Langlands-Shahidi local coefficient for ${\rm SL}(2)$ via types and covers à la Bushnell-Kutzko. In this paper, we extend their method to the non-split case and complete their project. We also study the algebraic structure of Gelfand-Graev representations, which generalizes the results of Chan-Savin and Mishra-Pattanayak to ${\rm SL}(2)$ over non-archimidean local fields without any restriction on the characteristic.
