An Observation on Leonard System Parameters for the Terwilliger Algebra of the Johnson Scheme J(N, D)

作者：Liang, Xiaoye; Tan, Ying-Ying; Ito, Tatsuro^*

来源：Graphs and Combinatorics, 2017, 33(1): 149-156.

DOI：10.1007/s00373-016-1744-5

• Leonard system
• Terwilliger algebra
• Johnson scheme

Analyzing Terwilliger (J Algebr Comb 2:177-210, 1993, Example 6.1(1), page 198), we make an observation on parameters of Leonard systems that arise from irreducible modules of the Terwilliger algebra of the Johnson scheme J(N, D). This observation suggests that the main theorems of Levstein and Maldonado (Discrete Math 307:1621-1635, 2007) and Lv et al. (Discrete Math 328:54-62, 2014), i.e, Theorem 6.8, Theorem 4.4 respectively, are not properly stated.

• 出版日期2017-1
• 单位安徽大学