A characterization of Leonard pairs using the parameters \(\{a_i\}^d_{i=0}\) (Q1938685)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of Leonard pairs using the parameters \(\{a_i\}^d_{i=0}\) |
scientific article |
Statements
A characterization of Leonard pairs using the parameters \(\{a_i\}^d_{i=0}\) (English)
0 references
22 February 2013
0 references
\textit{P. Terwilliger} [Linear Algebra Appl. 330, No. 1--3, 149--203 (2001; Zbl 0980.05054)] first defined a Leonard pair on a vector space of finite dimension. In this paper, the results by \textit{A. A. Pascasio} [Discrete Math. 308, No. 14, 3090--3096 (2008; Zbl 1171.05054)] are extended to a linear algebraic level and a new characterization of Leonard pairs is obtained.
0 references
Leonard pair
0 references
tridiagonal pair
0 references
distance-regular graph
0 references
orthogonal polynomials
0 references
