Loading [MathJax]/extensions/tex2jax.js

Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Lucia Morotti

Organisationseinheiten

Externe Organisationen

  • Heinrich-Heine-Universität Düsseldorf
Plum Print visual indicator of research metrics
  • Citations
    • Citation Indexes: 1
see details

Details

OriginalspracheEnglisch
Seiten (von - bis)109-140
Seitenumfang32
FachzeitschriftJournal of Algebra
Jahrgang657
Frühes Online-Datum27 Mai 2024
PublikationsstatusVeröffentlicht - 1 Nov. 2024

Abstract

We give explicit formulas to compute most of the decomposition numbers of reductions modulo 2 of irreducible spin representations of symmetric groups indexed by partitions with at most 2 parts. In many of the still open cases small upper bounds are found.

ASJC Scopus Sachgebiete

Zitieren

Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2. / Morotti, Lucia.
in: Journal of Algebra, Jahrgang 657, 01.11.2024, S. 109-140.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Morotti L. Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2. Journal of Algebra. 2024 Nov 1;657:109-140. Epub 2024 Mai 27. doi: 10.1016/j.jalgebra.2024.04.031, 10.48550/arXiv.2303.00629
Download
@article{7b57f86754e0488f98dd1b35cbcafbc9,
title = "Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2",
abstract = " We give explicit formulas to compute most of the decomposition numbers of reductions modulo 2 of irreducible spin representations of symmetric groups indexed by partitions with at most 2 parts. In many of the still open cases small upper bounds are found. ",
keywords = "math.RT, Symmetric groups, Spin representations, Decomposition numbers",
author = "Lucia Morotti",
year = "2024",
month = nov,
day = "1",
doi = "10.1016/j.jalgebra.2024.04.031",
language = "English",
volume = "657",
pages = "109--140",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",

}

Download

TY - JOUR

T1 - Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2

AU - Morotti, Lucia

PY - 2024/11/1

Y1 - 2024/11/1

N2 - We give explicit formulas to compute most of the decomposition numbers of reductions modulo 2 of irreducible spin representations of symmetric groups indexed by partitions with at most 2 parts. In many of the still open cases small upper bounds are found.

AB - We give explicit formulas to compute most of the decomposition numbers of reductions modulo 2 of irreducible spin representations of symmetric groups indexed by partitions with at most 2 parts. In many of the still open cases small upper bounds are found.

KW - math.RT

KW - Symmetric groups

KW - Spin representations

KW - Decomposition numbers

UR - http://www.scopus.com/inward/record.url?scp=85195105059&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2024.04.031

DO - 10.1016/j.jalgebra.2024.04.031

M3 - Article

VL - 657

SP - 109

EP - 140

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -