An integrable structure related with tridiagonal algebras
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Publication:874562
DOI10.1016/j.nuclphysb.2004.11.014zbMath1119.81330arXivmath-ph/0408025OpenAlexW1978261791MaRDI QIDQ874562
Publication date: 10 April 2007
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0408025
quadratic algebrasOnsager algebratridiagonal pairtridiagonal algebraDolan-Grady relationsmassive integrable models
Related Items (62)
Tridiagonal pairs of \(q\)-Racah type ⋮ Time and band limiting operator and Bethe ansatz ⋮ The Lusztig automorphism of the \(q\)-Onsager algebra ⋮ Analogues of Lusztig's higher order relations for the q-Onsager algebra ⋮ Compatibility and companions for Leonard pairs ⋮ Deformed Dolan-Grady relations in quantum integrable models ⋮ A new (in)finite-dimensional algebra for quantum integrable models ⋮ From affine Hecke algebras to boundary symmetries ⋮ An infinite-dimensional \(\square_q\)-module obtained from the \(q\)-shuffle algebra for affine \(\mathfrak{sl}_2\) ⋮ A compact presentation for the alternating central extension of the positive part of Uq(sl^2) ⋮ The \(q\)-deformed analogue of the Onsager algebra: beyond the Bethe ansatz approach ⋮ Boundary Algebra and Exact Solvability of the Asymmetric Exclusion Process ⋮ Theq-Onsager algebra and multivariableq-special functions ⋮ The alternating central extension for the positive part of \(U_q(\hat{\mathfrak{sl}}_2)\) ⋮ Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz ⋮ Some \(q\)-exponential formulas for finite-dimensional \(\square_q\)-modules ⋮ The compact presentation for the alternating central extension of the \(q\)-Onsager algebra ⋮ Twisting finite-dimensional modules for the \(q\)-Onsager algebra \(\mathcal{O}_q\) via the Lusztig automorphism ⋮ Unnamed Item ⋮ Near-bipartite Leonard pairs ⋮ Coideal algebras from twisted Manin triples ⋮ The half-infinite XXZ chain in Onsager's approach ⋮ Quantum symmetric Kac-Moody pairs ⋮ The dual pair (Uq(su(1,1)),oq1/2(2n)), q-oscillators, and Askey-Wilson algebras ⋮ Murphy elements from the double-row transfer matrix ⋮ A conjecture concerning the \(q\)-Onsager algebra ⋮ Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials ⋮ The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras ⋮ Higher order relations for ADE-type generalized \(q\)-Onsager algebras ⋮ The alternating central extension of the \(q\)-Onsager algebra ⋮ Non-abelian symmetries of the half-infinite XXZ spin chain ⋮ The \(q\)-Onsager algebra and the positive part of \(U_q(\hat{\mathfrak{sl}}_2)\) ⋮ The \(q\)-Onsager algebra and the universal Askey-Wilson algebra ⋮ Drinfeld J presentation of twisted Yangians ⋮ Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials ⋮ An action of the free product \(\mathbb{Z}_2 \star \mathbb{Z}_2 \star \mathbb{Z}_2\) on the \(q\)-Onsager algebra and its current algebra ⋮ Tridiagonal pairs and the \(\mu \)-conjecture ⋮ A new current algebra and the reflection equation ⋮ BIDIAGONAL PAIRS, THE LIE ALGEBRA 𝔰𝔩2, AND THE QUANTUM GROUP Uq(𝔰𝔩2) ⋮ A classification of sharp tridiagonal pairs ⋮ Mock tridiagonal systems ⋮ Generalized \(q\)-Onsager algebras and boundary affine Toda field theories ⋮ TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS ⋮ Double lowering operators on polynomials ⋮ FRT presentation of the Onsager algebras ⋮ TD-pairs and the $q$-Onsager algebra ⋮ Higher rank relations for the Askey-Wilson and \(q\)-Bannai-Ito algebra ⋮ The higher rank \(q\)-deformed Bannai-Ito and Askey-Wilson algebra ⋮ A deformed analogue of Onsager’s symmetry in the XXZ open spin chain ⋮ Boundary non-local charges from the open spin chain ⋮ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra ⋮ Tridiagonal pairs and the \(q\)-tetrahedron algebra ⋮ Higher rank classical analogs of the Askey-Wilson algebra from the slN Onsager algebra ⋮ The openXXZand associated models atqroot of unity ⋮ On , , , , , , and reflectionK-matrices ⋮ Exact spectrum of the XXZ open spin chain from theq-Onsager algebra representation theory ⋮ On the shape of a tridiagonal pair ⋮ FRT presentation of classical Askey-Wilson algebras ⋮ A bispectral q-hypergeometric basis for a class of quantum integrable models ⋮ The alternating central extension of the Onsager Lie algebra ⋮ The Askey–Wilson algebra and its avatars ⋮ Scalar product for the XXZ spin chain with general integrable boundaries *
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