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Degenerate principal series for classical and odd GSpin groups in the general case
Representation Theory ( IF 0.6 ) Pub Date : 2020-08-26 , DOI: 10.1090/ert/548
Yeansu Kim , Baiying Liu , Ivan Matić

Abstract:Let $ G_n$ denote either the group $ SO(2n+1, F)$, $ Sp(2n, F)$, or $ G{\textup {Spin}}(2n+1, F)$ over a non-archimedean local field of characteristic different from two. We determine all composition factors of degenerate principal series of $ G_n$, using methods based on the Aubert involution and known results on irreducible subquotients of the generalized principal series of a particular type.


中文翻译:

一般情况下经典和奇数GSpin组的简并主序列

摘要:让其$ G_n $表示group ,或在特征不同于两个的非archededean局部域上。我们使用基于Aubert对合的方法和关于特定类型的广义主数列的不可约子商的已知结果,确定的简并主数列的所有构成因子。 $ SO(2n + 1,F)$$ Sp(2n,F)$ $ G {\ textup {Spin}}(2n + 1,F)$$ G_n $
更新日期:2020-08-26
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