Tridiagonal pairs of \(q\)-Serre type and their linear perturbations

DOI10.1016/j.jalgebra.2022.04.036OpenAlexW3178809893MaRDI QIDQ2144400

Aayush Karan

Publication date: 13 June 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.01430

zbMATH Keywords

linear perturbationtridiagonal pairtridiagonal systemDrinfel'd polynomialsplit sequence

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Algebraic systems of matrices (15A30)

Related Items

Tridiagonal pairs, alternating elements, and distance-regular graphs

Cites Work

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• A classification of sharp tridiagonal pairs
• Mock tridiagonal systems
• Matrix units associated with the split basis of a Leonard pair
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• The structure of a tridiagonal pair
• Quantum affine algebras
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• TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS
• THE AUGMENTED TRIDIAGONAL ALGEBRA
• TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS
• The Drinfel'd polynomial of a tridiagonal pair