The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and \(U_q(\mathrm{sl}_2)\)

DOI10.1016/j.disc.2022.113169zbMath1497.05268arXiv2108.13819OpenAlexW4297842163WikidataQ114196979 ScholiaQ114196979MaRDI QIDQ2675872

Luc Vinet, Pierre-Antoine Bernard, Nicolas Crampé

Publication date: 26 September 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.13819

zbMATH Keywords

Terwilliger algebraquantum groupsdual polar graphs

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Combinatorial aspects of groups and algebras (05E16)

Related Items (1)

A \(Q\)-polynomial structure associated with the projective geometry \(L_N (q)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The subconstituent algebra of an association scheme. I
• The subconstituent algebra of an association scheme. III
• The subconstituent algebra of an association scheme. II
• The Terwilliger algebra of the hypercube
• Entanglement of free fermions on Hadamard graphs
• The Terwilliger algebra of the Johnson schemes
• Equations over finite fields. An elementary approach
• An algebra associated with a subspace lattice over a finite field and its relation to the quantum affine algebra \(U_q(\hat{\mathfrak{sl}}_2)\)
• Introduction to Leonard pairs.
• Dual polar graphs, the quantum algebra \(U_q(\mathfrak{sl}_{2})\), and Leonard systems of dual \(q\)-Krawtchouk type
• Fractional revival and association schemes
• The Terwilliger algebras of Grassmann graphs
• The Terwilliger algebra of the Grassmann scheme \(J_q(N,D)\) revisited from the viewpoint of the quantum affine algebra \(U_q(\hat{\mathfrak{sl}}_2)\)
• The Terwilliger algebra of the Johnson scheme \(J(N, D)\) revisited from the viewpoint of group representations
• An observation on Leonard system parameters for the Terwilliger algebra of the Johnson scheme \(J(N, D)\)
• The Terwilliger algebras of Johnson graphs
• The Terwilliger algebra of a Hamming scheme \(H(d,q)\)
• Some q-Krawtchouk Polynomials on Chevalley Groups
• Orthogonal Polynomials, Duality and Association Schemes
• Orthogonal Matrices Over Finite Fields

This page was built for publication: The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and \(U_q(\mathrm{sl}_2)\)