English

Mock Tridiagonal Systems

Rings and Algebras 2008-07-29 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.0807.4360,
  title  = {Mock Tridiagonal Systems},
  author = {Tatsuro Ito and Paul Terwilliger},
  journal= {arXiv preprint arXiv:0807.4360},
  year   = {2008}
}

Comments

10 pages

R2 v1 2026-06-21T11:04:51.863Z