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Degenerate principal series for classical and odd GSpin groups in the general case
Author(s) -
Yeansu Kim,
Baiying Liu,
Ivan Matić
Publication year - 2020
Publication title -
representation theory of the american mathematical society
Language(s) - English
Resource type - Journals
ISSN - 1088-4165
DOI - 10.1090/ert/548
Subject(s) - algorithm , artificial intelligence , computer science
Let Gn denote either the group SO(2n + 1, F ), Sp(2n, F ), or GSpin(2n + 1, F ) over a non-archimedean local field of characteristic different from two. We determine all composition factors of degenerate principal series of Gn, using methods based on the Aubert involution and known results on irreducible subquotients of the generalized principal series of a particular type.

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