Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups

Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups
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特殊正交群和辛群的某些内部形式的亚瑟重数公式

DOI:
10.4171/jems/852
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发表时间:
2015
期刊:
Journal für die reine und angewandte Mathematik (Crelles Journal)
影响因子:
--
通讯作者:
O. Taibi
O. Taibi
中科院分区:
--
文献类型:
--
作者:
O. Taibi

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设G是数域F上的特殊正交群或辛群的内型,使得存在一个由F的实部组成的非空集S,G在该非空集上有离散级数,在其外G是拟分裂的.证明了S中所有地方具有代数正则无穷小特征的G的自同构表示的Arthur重数公式。
Let G be a special orthogonal group or an inner form of a symplectic group over a number field F such that there exists a non-empty set S of real places of F at which G has discrete series and outside of which G is quasi-split. We prove Arthur’s multiplicity formula for automorphic representations of G having algebraic regular infinitesimal character at all places in S.
DOI: 10.1112/plms/pdq019
发表时间: 2011
影响因子: 1.8
作者:
Loeffler D
通讯作者: Loeffler D