Eigenbasis for a weighted adjacency matrix associated with the projective geometry \(B_q (n)\)

DOI10.1016/j.laa.2024.09.007MaRDI QIDQ6635255

Murali K. Srinivasan

Publication date: 9 November 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

projective geometryweighted adjacency matrix\(Q\)-polynomial property

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Combinatorial structures in finite projective spaces (51E20)

Cites Work

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• The Goldman-Rota identity and the Grassmann scheme
• Notes on the Leonard system classification
• Quantum calculus
• A \(q\)-analog of the adjacency matrix of the \(n\)-cube
• A \(Q\)-polynomial structure associated with the projective geometry \(L_N (q)\)
• Distance-regular graphs, the subconstituent algebra, and the $Q$-polynomial property
• Projective geometries, \(Q\)-polynomial structures, and quantum groups

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