The Terwilliger algebra of the Johnson scheme J(N,D) revisited from the viewpoint of group representations
| Autor: | Yi-Zheng Fan, Ying-Ying Tan, Tatsuro Ito, Xiaoye Liang |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Group (mathematics)
010102 general mathematics 0102 computer and information sciences Base (topology) 01 natural sciences Centralizer and normalizer Group representation Combinatorics Algebra 010201 computation theory & mathematics Irreducible representation Scheme (mathematics) Discrete Mathematics and Combinatorics 0101 mathematics Algebra over a field Fixed base Mathematics |
| Zdroj: | European Journal of Combinatorics. 80:157-171 |
| ISSN: | 0195-6698 |
| Popis: | Let T = T ( x 0 ) be the Terwilliger algebra of the Johnson scheme J ( N , D ) , where x 0 is a fixed base point. In Liang et al. (2017), an observation is made on the parameters of Leonard systems that arise from the irreducible representations of T . This paper accounts for the observation from the viewpoint of group representations. In particular, it is shown that T is isomorphic to the centralizer algebra for the stabilizer of the base point x 0 in the automorphism group of J ( N , D ) . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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