论文标题
通过Theta Lifts的正交组的本地Langlands对应
Local Langlands Correspondence for Even Orthogonal Groups via Theta Lifts
论文作者
论文摘要
使用theta对应关系，我们通过从亚瑟（Arthur）造成的symplectic群体的本地兰兰兹对应关系中推论任意的正交组（即本地Langlands对应关系）的不可约说明的分类。此外，我们表明，我们的分类与亚瑟（Arthur）建立的本地兰兰对应关系一致，并由Atobe-gan精确地制定了准分类甚至正交组。
Using theta correspondence, we obtain a classification of irreducible representations of an arbitrary even orthogonal group (i.e. the local Langlands correspondence) by deducing it from the local Langlands correspondence for symplectic groups due to Arthur. Moreover,we show that our classifications coincide with the local Langlands correspondence established by Arthur and formulated precisely by Atobe-Gan for quasi-split even orthogonal groups.
