Bidiagonal triples

DOI10.1016/j.laa.2017.01.026zbMath1359.15005arXiv1612.04882OpenAlexW4205461593MaRDI QIDQ513252

Darren Funk-Neubauer

Publication date: 3 March 2017

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

Full work available at URL: https://arxiv.org/abs/1612.04882

zbMATH Keywords

linear transformationstridiagonal pairLeonard pairbidiagonal pairbidiagonal tripleLie algebra \(\mathfrak{sl}_2\)quantum group \(U_q(\mathfrak{sl}_2)\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items (3)

Bidiagonal triads and the tetrahedron algebra ⋮ Circular bidiagonal pairs ⋮ Unnamed Item

Cites Work

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• Tridiagonal pairs of \(q\)-Racah type
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• Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra
• Theq-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules
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• Raising/Lowering Maps and Modules for the Quantum Affine Algebra
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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