Two linear transformations each tridiagonal with respect to an eigenbasis of the other
2001/06/01 by Paul Terwilliger · 36 citations
Mathematics · Computer Science · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Coding theory and cryptography
paper · doi:10.1016/s0024-3795(01)00242-7
Cited by
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- The q-Onsager algebra and the positive part of\n Uq( widehat mathfraksl2)
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- The structure of a tridiagonal pair
- Two commuting operators associated with a tridiagonal pair
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the split decomposition
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- Spin Leonard pairs and the zero diagonal space
- Abstract "hypergeometric" orthogonal polynomials
- Evaluation modules for the q-tetrahedron algebra
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an overview
- Doubly almost bipartite Leonard pairs
- Generalized Bochner theorem: characterization of the Askey-Wilson polynomials
- Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way
- Two relations that generalize the q-Serre relations and the Dolan-Grady relations
- Representations of Askey--Wilson algebra
- A set of orthogonal polynomials, dual to alternative q-Charlier polynomials
- Dual polar graphs, the quantum algebra Uq(sl2), and Leonard systems of dual q-Krawtchouk type
- Self-dual Leonard pairs
- The determinant of AA^*-A^*A for a Leonard pair A,A^*
- Totally bipartite tridiagonal pairs
- Tridiagonal pairs of q-Racah type
- Dunkl shift operators and Bannai-Ito polynomials
- Two linear transformations each tri-diagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form
- Finite-dimensional irreducible modules of the universal Askey-Wilson algebra
- The universal DAHA of type (C1^\vee,C1) and Leonard pairs of q-Racah type