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Modular Terwilliger Algebras of Association Schemes
Graphs and Combinatorics ( IF 0.6 ) Pub Date : 2021-07-13 , DOI: 10.1007/s00373-021-02363-0
Akihide Hanaki 1
Affiliation  

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.



中文翻译:

关联方案的模块化 Terwilliger 代数

我们定义了关联方案的模 Terwilliger 代数、正特征域上的 Terwilliger 代数,并考虑了基本性质。我们给模 Terwilliger 代数非半简单的条件。我们表明约翰逊方案的 Terwilliger 代数的维数取决于系数场的特征。我们还举了一些其他的例子。

更新日期:2021-07-13
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