论文标题
联想方案的模块化Terwilliger代数
Modular Terwilliger algebras of association schemes
论文作者
论文摘要
我们将关联方案,Terwilliger代数的模块化Terwilliger代数定义在正面特征领域,并考虑基本特性。我们为模块化的Terwilliger代数为非偏smisimple提供条件。我们表明,约翰逊方案的Terwilliger代数的维度取决于系数场的特征。我们还举了其他一些例子。
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.