EPSILON DICHOTOMY FOR TWISTED LINEAR MODELS

Hang Xue; Pan Yan

doi:10.2140/PJM.2025.334.59

EPSILON DICHOTOMY FOR TWISTED LINEAR MODELS

Hang Xue
, Pan Yan

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let E/F be a quadratic extension of local nonarchimedean fields of characteristic zero and let D be a quaternion algebra over F containing E. We study a relation between the existence of twisted linear models on GL_n(D) and the local root numbers.

Original language	English (US)
Pages (from-to)	59-106
Number of pages	48
Journal	Pacific Journal of Mathematics
Volume	334
Issue number	1
DOIs	https://doi.org/10.2140/PJM.2025.334.59
State	Published - 2025

Keywords

epsilon dichotomy
relative trace formula
twisted linear models

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2140/PJM.2025.334.59

Cite this

@article{1f35ba53a244433da4532a2573035691,

title = "EPSILON DICHOTOMY FOR TWISTED LINEAR MODELS",

abstract = "Let E/F be a quadratic extension of local nonarchimedean fields of characteristic zero and let D be a quaternion algebra over F containing E. We study a relation between the existence of twisted linear models on GLn(D) and the local root numbers.",

keywords = "epsilon dichotomy, relative trace formula, twisted linear models",

author = "Hang Xue and Pan Yan",

note = "Publisher Copyright: {\textcopyright} 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).",

year = "2025",

doi = "10.2140/PJM.2025.334.59",

language = "English (US)",

volume = "334",

pages = "59--106",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "Mathematical Sciences Publishers",

number = "1",

}

TY - JOUR

T1 - EPSILON DICHOTOMY FOR TWISTED LINEAR MODELS

AU - Xue, Hang

AU - Yan, Pan

PY - 2025

Y1 - 2025

N2 - Let E/F be a quadratic extension of local nonarchimedean fields of characteristic zero and let D be a quaternion algebra over F containing E. We study a relation between the existence of twisted linear models on GLn(D) and the local root numbers.

AB - Let E/F be a quadratic extension of local nonarchimedean fields of characteristic zero and let D be a quaternion algebra over F containing E. We study a relation between the existence of twisted linear models on GLn(D) and the local root numbers.

KW - epsilon dichotomy

KW - relative trace formula

KW - twisted linear models

UR - https://www.scopus.com/pages/publications/85215858539

UR - https://www.scopus.com/pages/publications/85215858539#tab=citedBy

U2 - 10.2140/PJM.2025.334.59

DO - 10.2140/PJM.2025.334.59

M3 - Article

AN - SCOPUS:85215858539

SN - 0030-8730

VL - 334

SP - 59

EP - 106

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

EPSILON DICHOTOMY FOR TWISTED LINEAR MODELS

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this