Modular Terwilliger algebras of association schemes
Combinatorics
2021-09-06 v1
Abstract
We define modular Terwilliger algebras of association schemes, Terwilliger algebras over a positive characteristic field, and consider basic properties. We give a condition for the modular Terwilliger algebra to be non-semisimple. We show that the dimension of a Terwilliger algebra of a Johnson scheme depends on the characteristic of the coefficient field. We also give some other examples.
Cite
@article{arxiv.2004.09692,
title = {Modular Terwilliger algebras of association schemes},
author = {Akihide Hanaki},
journal= {arXiv preprint arXiv:2004.09692},
year = {2021}
}