Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual \(q\)-Krawtchouk polynomials

zbMath1384.05079arXiv1709.07825MaRDI QIDQ5916025

Jae-Ho Lee, Hajime Tanaka

Publication date: 20 April 2018

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.07825

zbMATH Keywords

Terwilliger algebradual polar graphdual \(q\)-Krawtchouk polynomialnil-DAHA of rank one

Mathematics Subject Classification ID

Graph polynomials (05C31) Distance in graphs (05C12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (2)

Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual \(q\)-Krawtchouk polynomials ⋮ A diagram associated with the subconstituent algebra of a distance-regular graph

Cites Work

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• Distance-regular graphs
• Nonsymmetric Askey-Wilson polynomials and \(Q\)-polynomial distance-regular graphs
• The subconstituent algebra of an association scheme. I
• Nonsymmetric Koornwinder polynomials and duality
• Dual polar graphs, the quantum algebra \(U_q(\mathfrak{sl}_{2})\), and Leonard systems of dual \(q\)-Krawtchouk type
• One-dimensional nil-DAHA and Whittaker functions. I.
• One-dimensional nil-DAHA and Whittaker functions. II.
• Nonsymmetric difference Whittaker functions
• The subconstituent algebra of a strongly regular graph
• \(Q\)-polynomial distance-regular graphs and a double affine Hecke algebra of rank one
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Orthogonal Polynomials, Duality and Association Schemes

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