Bidiagonal triples
type: Item
instance of: scholarly article
title: Bidiagonal triples
zbMATH Open document ID: 1359.15005
author: Darren Funk-Neubauer
published in: Linear Algebra and its Applications
publication date: 2017-03-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1612.04882
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A04
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 6691791
zbMATH Keywords: bidiagonal triple
zbMATH Keywords: bidiagonal pair
zbMATH Keywords: tridiagonal pair
zbMATH Keywords: Leonard pair
zbMATH Keywords: Lie algebra \(\mathfrak{sl}_2\)
zbMATH Keywords: quantum group \(U_q(\mathfrak{sl}_2)\)
zbMATH Keywords: linear transformations
MaRDI profile type: Publication
OpenAlex ID: W4205461593
arXiv ID: 1612.04882
cites work: Leonard pairs from the equitable basis of sl2
cites work: Irreducible modules for the quantum affine algebra \(U_{q}(\mathfrak {\widehat{sl}_2})\) and its Borel subalgebra
cites work: The universal central extension of the three-point $\mathfrak {sl}_2$ loop algebra
cites work: The equitable basis for \({\mathfrak{sl}_2}\)
cites work: The $S_4$-action on tetrahedron algebra
cites work: Raising/Lowering Maps and Modules for the Quantum Affine Algebra
cites work: Tridiagonal pairs and the \(q\)-tetrahedron algebra
cites work: BIDIAGONAL PAIRS, THE LIE ALGEBRA 𝔰𝔩2, AND THE QUANTUM GROUP Uq(𝔰𝔩2)
cites work: The tetrahedron algebra and its finite-dimensional irreducible modules
cites work: The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Some algebra related to \(P\)- and \(Q\)-polynomial association schemes
cites work: \(p\)-inverting pairs of linear transformations and the \(q\)-tetrahedron algebra
cites work: Theq-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules
cites work: Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\).
cites work: Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra
cites work: Distance-regular graphs and the \(q\)-tetrahedron algebra
cites work: Distance-regular graphs of \(q\)-Racah type and the \(q\)-tetrahedron algebra
cites work: Tridiagonal pairs of \(q\)-Racah type
cites work: The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation
cites work: Q4862686
cites work: Finite dimensional modules for the \(q\)-tetrahedron algebra
cites work: Two linear transformations each tridiagonal with respect to an eigenbasis of the other
cites work: Q5493480
cites work: The equitable presentation for the quantum group associated with a symmetrizable Kac-Moody algebra
cites work: Finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules from the equitable point of view
DOI: 10.1016/J.LAA.2017.01.026
description: scientific article