Mock Tridiagonal Systems

2008/07/28 by Tatsuro Ito, Paul Terwilliger, Ito, Tatsuro +1 · 2 citations
Computer Science · Mathematics · #05E30 #15A21 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Rings and Algebras (math.RA) #math.CO #math.RA #msc:05E30 #msc:15A21

paper · pdf · doi:10.48550/arxiv.0807.4360

10 pages

arxiv created 2008/07/28 · openalex publication_date 2008/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of a \it mock tridiagonal system. This is a generalization of a tridiagonal system in which the irreducibility assumption is replaced by a certain non-vanishing condition. We show how mock tridiagonal systems can be used to construct tridiagonal systems that meet certain specifications. This paper is part of our ongoing project to classify the tridiagonal systems up to isomorphism.

Citations

• Two linear transformations each tridiagonal with respect to an eigenbasis of the other
• Theq-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules
• Tridiagonal pairs of shape (1,2,1)

Cited by

• A classification of sharp tridiagonal pairs
• On the shape of a tridiagonal pair

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