Representations induced from cuspidal and ladder representations of classical $p$-adic groups

Barbara Bosnjak

Representations induced from cuspidal and ladder representations of classical $p$-adic groups

Representation Theory 2021-04-05 v3

Authors: Barbara Bosnjak

Abstract

Let $G_n$ denote either the group $Sp(2n, F)$ or $SO(2n+1, F)$ over a non-archimedean local field $F$ . We determine the composition series of representations of $G_n$ induced from cuspidal and ladder representations such that the minimal exponent in the cuspidal support of the ladder representation is greater than or equal to $\frac{1}{2}$ .

Keywords

automorphic representations representation theory of groups group representations

Cite

@article{arxiv.2010.07619,
  title  = {Representations induced from cuspidal and ladder representations of classical $p$-adic groups},
  author = {Barbara Bosnjak},
  journal= {arXiv preprint arXiv:2010.07619},
  year   = {2021}
}

Comments

10 pages

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