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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
Representation Theory ( IF 0.6 ) Pub Date : 2020-08-26 , DOI: 10.1090/ert/548 Yeansu Kim , Baiying Liu , Ivan Matić
Abstract:Let denote either the group , , or over a non-archimedean local field of characteristic different from two. We determine all composition factors of degenerate principal series of , 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。
更新日期:2020-08-26
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。