Decomposition numbers for the principal Φ2n-block of Sp4n(q) and SO4n+1(q)

Dudas, Olivier, Norton, Emily (2024) Decomposition numbers for the principal Φ2n-block of Sp4n(q) and SO4n+1(q). Annales de l'Institut Fourier, . ISSN 0373-0956. (doi:10.5802/aif.3659) (KAR id:107604)

PDF Publisher pdf Language: English This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
Download this file (PDF/1MB)	Preview
Request a format suitable for use with assistive technology e.g. a screenreader
PDF Author's Accepted Manuscript Language: English Restricted to Repository staff only
Contact us about this Publication
Official URL: https://aif.centre-mersenne.org/articles/10.5802/a...

Abstract

We compute the decomposition numbers of the unipotent characters lying in the principal ℓ-block of a finite group of Lie type B2n(q) or C2n(q) when q is an odd prime power and ℓ is an odd prime number such that the order of q mod ℓ is 2n. Along the way, we extend to these finite groups the results of [12] on the branching graph for Harish-Chandra induction and restriction.

Item Type:	Article
DOI/Identification number:	10.5802/aif.3659
Subjects:	Q Science > QA Mathematics (inc Computing science) Q Science > QA Mathematics (inc Computing science) > QA171 Representation theory
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	University of Kent (https://ror.org/00xkeyj56)
Depositing User:	Emily Norton
Date Deposited:	24 Oct 2024 14:10 UTC
Last Modified:	28 Oct 2024 11:41 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/107604 (The current URI for this page, for reference purposes)

University of Kent Author Information

Norton, Emily.

Creator's ORCID:	https://orcid.org/0000-0002-4358-8663
CReDIT Contributor Roles:

Depositors only (login required):

Altmetric

Download Statistics

Total unique views for this document in KAR since July 2020. For more details click on the image.