BIDIAGONAL PAIRS, THE LIE ALGEBRA 𝔰𝔩2, AND THE QUANTUM GROUP Uq(𝔰𝔩2)

DOI10.1142/S0219498812502076zbMath1280.17016arXiv1108.1219WikidataQ115245679 ScholiaQ115245679MaRDI QIDQ4923179

Darren Funk-Neubauer

Publication date: 5 June 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1219

zbMATH Keywords

quantum algebratridiagonal pairLeonard pairbidiagonal pairLie 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) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)

Related Items (10)

Bidiagonal triads and the tetrahedron algebra ⋮ Circular bidiagonal pairs ⋮ Some \(q\)-exponential formulas for finite-dimensional \(\square_q\)-modules ⋮ Billiard arrays and finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules ⋮ The Lusztig automorphism of Uq(𝔰𝔩2) from the equitable point of view ⋮ Unnamed Item ⋮ Upper triangular matrices and billiard arrays ⋮ Lowering-raising triples and \(U_q(\mathfrak{sl}_2)\) ⋮ Bidiagonal triples ⋮ Freidel-Maillet type presentations of \(U_q(sl_2)\)

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