Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Analyzing Terwilliger (J Algebr Comb 2:177–210, 1993, Example 6.1(1), page 198),  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.
['Xiaoye Liang', 'Ying-Ying Tan', 'Tatsuro Ito']
I am writing a research paper on a idea An Observation on Leonard System Parameters for the Terwilliger Algebra of the Johnson Scheme J(N, D)
[{"from": "human", "value": "I am writing a research paper on a idea An Observation on Leonard System Parameters for the Terwilliger Algebra of the Johnson Scheme J(N, D)"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Analyzing Terwilliger (J Algebr Comb 2:177\u2013210, 1993, Example 6.1(1), page 198),  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\u20131635, 2007) and Lv et al. (Discrete Math 328:54\u201362, 2014), i.e, Theorem 6.8, Theorem 4.4 respectively, are not properly stated."}]