A \(Q\)-polynomial structure for the attenuated space poset \(\mathcal{A}_q (N, M)\)
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Publication:6126167
DOI10.1016/j.jcta.2024.105872arXiv2307.07833OpenAlexW4391707465MaRDI QIDQ6126167
Publication date: 9 April 2024
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.07833
Association schemes, strongly regular graphs (05E30) Combinatorics of partially ordered sets (06A07) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)
Cites Work
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- Distance-regular graphs
- Character tables of association schemes based on attenuated spaces
- Incidence matrices of finite attenuated spaces and class dimension of association schemes
- Krawtchouk polynomials, the Lie algebra \(\mathfrak{sl}_2\), and Leonard pairs
- Relation graphs of an association scheme based on attenuated spaces
- Lowering-raising triples and \(U_q(\mathfrak{sl}_2)\)
- 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
- Structure of thin irreducible modules of a \(Q\)-polynomial distance-regular graph
- The attenuated space poset \(\mathcal{A}_q(N, M)\)
- Association schemes based on attenuated spaces
- A characterization of the association schemes of bilinear forms
- Incidence structures whose planes are nets
- Association schemes and t-designs in regular semilattices
- Down-up algebras
- The Terwilliger algebras of bipartite \(P\)- and \(Q\)-polynomial schemes
- A characterization of Grassmann and attenuated spaces as \((0,\alpha)\)-geometries.
- Leonard pairs and the \(q\)-Racah polynomials
- The parameters of bipartite \(Q\)-polynomial distance-regular graphs
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
- Introduction to Leonard pairs.
- Bipartite \(Q\)-polynomial distance-regular graphs
- Dual polar graphs, the quantum algebra \(U_q(\mathfrak{sl}_{2})\), and Leonard systems of dual \(q\)-Krawtchouk type
- The quantum adjacency algebra and subconstituent algebra of a graph
- Leonard pairs, spin models, and distance-regular graphs
- Error-correcting codes in attenuated space over finite fields
- Notes on the Leonard system classification
- Algebraic combinatorics. Translated from the Japanese
- A characterization of bipartite Leonard pairs using the notion of a tail
- Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form
- TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS
- LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
- Augmented down-up algebras and uniform posets
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other
- A \(q\)-analog of the adjacency matrix of the \(n\)-cube
- A \(Q\)-polynomial structure associated with the projective geometry \(L_N (q)\)
- Near-bipartite Leonard pairs
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