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

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• 作者：Xiaoye Liang ; Ying-Ying Tan ; Tatsuro Ito
• 关键词：Leonard system ; Terwilliger algebra ; Johnson scheme
• 刊名：Graphs and Combinatorics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：33
• 期：1
• 页码：149-156
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Combinatorics; Engineering Design;
• 出版者：Springer Japan
• ISSN：1435-5914
• 卷排序：33

文摘

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.