Arthur classified the discrete automorphic representations of symplectic and orthogonal groups over a number field by that of the general linear groups. In this classification, those that are not from endoscopic lifting correspond to pairs $$(\phi , b)$$ ( ϕ , b ) , where $$\phi $$ ϕ is an irreducible unitary cuspidal automorphic representation of some general linear group and b is an integer. In this paper, we study the local components of these automorphic representations at a nonarchimedean place, and we give a complete description of them in terms of their Langlands parameters.

中文翻译：

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准分裂 Sp(N) 和 O(N) 的非内窥自守表示的非阿基米德分量

亚瑟将数域上辛群和正交群的离散自守表示分类为一般线性群的离散自守表示。在这个分类中，那些不是来自内窥镜提升的对应于对 $$(\phi , b)$$ ( ϕ , b ) ，其中 $$\phi $$ ϕ 是一些一般线性群的不可约幺正尖点自守表示b 是整数。在本文中，我们在非阿基米德位置研究了这些自守表示的局部分量，并根据它们的朗兰兹参数对它们进行了完整的描述。