English

Epsilon dichotomy for twisted linear models

Number Theory 2025-01-01 v3 Representation Theory

Abstract

Let E/FE/F be a quadratic extension of local nonarchimedean fields of characteristic zero and let DD be a quaternion algebra over FF containing EE. In this paper, we study a relation between the existence of twisted linear models on GLn(D)\mathrm{GL}_n(D) and the local root numbers.

Keywords

Cite

@article{arxiv.2404.00561,
  title  = {Epsilon dichotomy for twisted linear models},
  author = {Hang Xue and Pan Yan},
  journal= {arXiv preprint arXiv:2404.00561},
  year   = {2025}
}

Comments

39 pages, final version, to appear in Pacific Journal of Mathematics

R2 v1 2026-06-28T15:39:24.324Z