A note on the arithmetic of residual automorphic representations of reductive groups

作者：Grobner Harald^*

来源：Mathematical Research Letters, 2015, 22(1): 93-109.

DOI：10.4310/mrl.2015.v22.n1.a6

We prove an arithmeticity result for a class of cohomological residual automorphic representations of a general reductive group G. More precisely, we show that this class of residual representations is stable under the action of Aut(C). This complements numerous results on the stability of cohomological cuspidal automorphic representations due by several people. We conclude by showing that the rationality field of such a cohomological residual automorphic representation is a number field.

• 出版日期2015