Top degree Ext-groups and relatively supercuspidal spectra

Li Cai; Yangyu Fan

doi:10.1016/j.aim.2022.108744

Top degree Ext-groups and relatively supercuspidal spectra

Li Cai
, Yangyu Fan^*

^*Corresponding author for this work

Capital Normal University

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

2 Citations (Scopus)

Abstract

Relatively supercuspidal representations are analogue of supercuspidal representations in the relative Langlands program. This work studies relatively supercuspidal representations using top degree Ext-groups via the Schneider-Stuhler duality. As examples, the relatively supercuspidal spectra for the Flicker-Rallis case and the diagonal case are determined.

Original language	English
Article number	108744
Journal	Advances in Mathematics
Volume	410
DOIs	https://doi.org/10.1016/j.aim.2022.108744
Publication status	Published - 3 Dec 2022
Externally published	Yes

Keywords

Braching law
Ext groups
Relatively supercuspidality

Access to Document

10.1016/j.aim.2022.108744

Cite this

@article{692cbb73619b44c1989c7dd6fe32dd51,

title = "Top degree Ext-groups and relatively supercuspidal spectra",

abstract = "Relatively supercuspidal representations are analogue of supercuspidal representations in the relative Langlands program. This work studies relatively supercuspidal representations using top degree Ext-groups via the Schneider-Stuhler duality. As examples, the relatively supercuspidal spectra for the Flicker-Rallis case and the diagonal case are determined.",

keywords = "Braching law, Ext groups, Relatively supercuspidality",

author = "Li Cai and Yangyu Fan",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

year = "2022",

month = dec,

day = "3",

doi = "10.1016/j.aim.2022.108744",

language = "English",

volume = "410",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Top degree Ext-groups and relatively supercuspidal spectra

AU - Cai, Li

AU - Fan, Yangyu

PY - 2022/12/3

Y1 - 2022/12/3

N2 - Relatively supercuspidal representations are analogue of supercuspidal representations in the relative Langlands program. This work studies relatively supercuspidal representations using top degree Ext-groups via the Schneider-Stuhler duality. As examples, the relatively supercuspidal spectra for the Flicker-Rallis case and the diagonal case are determined.

AB - Relatively supercuspidal representations are analogue of supercuspidal representations in the relative Langlands program. This work studies relatively supercuspidal representations using top degree Ext-groups via the Schneider-Stuhler duality. As examples, the relatively supercuspidal spectra for the Flicker-Rallis case and the diagonal case are determined.

KW - Braching law

KW - Ext groups

KW - Relatively supercuspidality

UR - https://www.scopus.com/pages/publications/85139736478

U2 - 10.1016/j.aim.2022.108744

DO - 10.1016/j.aim.2022.108744

M3 - Article

AN - SCOPUS:85139736478

SN - 0001-8708

VL - 410

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 108744

ER -

Top degree Ext-groups and relatively supercuspidal spectra

Abstract

Keywords

Access to Document

Other files and links

Cite this