论文标题
关于三元组合协会计划的调查
A survey on association schemes on triples
论文作者
论文摘要
三元组（ASTS）上的关联方案是经典关联方案的三元类似物，其关系和邻接代数是三元而不是二元的。我们对AST研究的当前进展进行了调查，突出了开放问题，建议研究方向并产生一些相关的结果。我们回顾AST的三元邻接代数的属性，其关系在某些小组行动下是不变的AST，以及从2设计和两雕像中获得的AST。我们还使用从Aggine Special Linear Group $ asl（2，Q）$获得的AST提供了融合和裂变AST的概念。
Association schemes on triples (ASTs) are ternary analogues of classical association schemes, whose relations and adjacency algebras are ternary instead of binary. We provide a survey of the current progress in the study of ASTs, highlighting open questions, suggesting research directions, and producing some related results. We review properties of the ternary adjacency algebras of ASTs, ASTs whose relations are invariant under some group action, and ASTs obtained from 2-designs and two-graphs. We also provide a notion of fusion and fission ASTs, using the AST obtained from the affine special linear group $ASL(2,q)$ as an example.
