English

Discrete series of odd general spin groups

Representation Theory 2022-09-27 v2 Number Theory

Abstract

We obtain a classification of discrete series representations of odd general spin groups, generalizing the M{\oe}glin-Tadi\'c classification for classical groups. Using mostly algebraic methods, available in both classical and the odd general spin case, we provide a simplified and shorter version of the classification of non-cuspidal discrete series in terms of the admissible triples. The presented classification can potentially be directly applied to many other reductive pp-adic groups.

Keywords

Cite

@article{arxiv.1706.01111,
  title  = {Discrete series of odd general spin groups},
  author = {Yeansu Kim and Ivan Matić},
  journal= {arXiv preprint arXiv:1706.01111},
  year   = {2022}
}
R2 v1 2026-06-22T20:08:41.550Z