Terwilliger Algebras of Group Association Schemes of Matrix Groups

This paper investigates the Terwilliger algebras of some group association schemes related to matrix groups. We obtain the structure of the Terwilliger algebras for the general and the special linear group of 2 × 2 matrices over the field of order 5. In particular, we determine the Wedderburn decomposition of these algebras.

Authors

Institutions

Publication Details

Journal
International Journal of Computing Science and Applied Mathematics
Published
2025-02-21
DOI
https://doi.org/10.12962/j24775401.v11i1.21470
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Terwilliger Algebras of Group Association Schemes of Matrix Groups

Nur Nadiah Abd Hamid
International Journal of Computing Science and Applied Mathematics
Advanced Topics in Algebra
article

Terwilliger Algebras of Group Association Schemes of Matrix Groups

Nur Nadiah Abd Hamid
article en

Abstract

This paper investigates the Terwilliger algebras of some group association schemes related to matrix groups. We obtain the structure of the Terwilliger algebras for the general and the special linear group of 2 × 2 matrices over the field of order 5. In particular, we determine the Wedderburn decomposition of these algebras.

International Journal of Computing Science and Applied MathematicsVol. 11(1)
Nur University (BO)
Reduced inequalities
Openalex Percentile: Top 89%
Advanced Topics in Algebra
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Terwilliger Algebras of Group Association Schemes of Matrix Groups — Nur Nadiah Abd Hamid · International Journal of Computing Science and Applied Mathematics (2025) | TGRS Research Map | TGRS