English

Degenerate principal series in the general case

Representation Theory 2019-05-31 v1 Number Theory

Abstract

Let GnG_n denote either the group SO(2n+1,F)SO(2n+1, F), Sp(2n,F)Sp(2n, F), or GSpin(2n+1,F)GSpin(2n+1, F) over a non-archimedean local field of characteristic different than two. We determine all composition factors of degenerate principal series of GnG_n, using methods based on the Aubert involution and known results on irreducible subquotiens of the generalized principal series of particular type.

Keywords

Cite

@article{arxiv.1905.13063,
  title  = {Degenerate principal series in the general case},
  author = {Yeansu Kim and Baiying Liu and Ivan Matic},
  journal= {arXiv preprint arXiv:1905.13063},
  year   = {2019}
}