Modular Terwilliger Algebras of Association Schemes

Modular Terwilliger Algebras of Association Schemes
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DOI:
10.1007/s00373-021-02363-0
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发表时间:
2020-04
影响因子:
0.7
通讯作者:
A. Hanaki
A. Hanaki
中科院分区:
数学4区
文献类型:
--
作者:
A. Hanaki

文献摘要

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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.