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arXiv · 2004.09692

Modular Terwilliger algebras of association schemes

Akihide Hanaki
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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.

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Akihide Hanaki. 2020-04-21. Modular Terwilliger algebras of association schemes. https://doi.org/10.1007/s00373-021-02363-0

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