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Generalizations of the q-Onsager algebra are introduced and studied.
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1944
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P. Terwilliger, The subconstituent algebra of an association scheme. III
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S. Ghoshal, Bound State Boundary S-matrix of the sine-Gordon Model
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S. Ghoshal and A. Zamolodchikov, Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
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E. Corrigan, P.E. Dorey, R.H. Rietdijk and R. Sasaki, Affine Toda field theory on a half line
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F.A. Gr u ¨ \ddot{u} nbaum and L. Haine, The q-version of a theorem of Bochner
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S. Penati, A. Refolli and D. Zanon, Classical Versus Quantum Symmetries for Toda Theories with a Nontrivial Boundary Perturbation
1996
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D. Uglov and L. Ivanov, s l ( N ) sl(N) Onsager’s algebra and integrability
1996
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A.M. Gavrilik and N.Z. Iorgov, q q -deformed algebras U q ( so n ) U_{q}({\rm so}_{n}) and their representations
1997
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G.W. Delius, Soliton-preserving boundary condition in affine Toda field theories
1998
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L. Mezincescu and R.I. Nepomechie, Fractional-Spin Integrals of Motion for the Boundary Sine-Gordon Model at the Free Fermion Point
1998
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V. A. Fateev and E. Onofri, Boundary One-Point Functions, Scattering Theory and Vacuum Solutions in Integrable Systems
2002
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P. Baseilhac and K. Koizumi, Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom
2003
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G.W. Delius and N.J. MacKay, Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
2003
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A.I. Molev, E. Ragoucy and P. Sorba, Coideal subalgebras in quantum affine algebras
2003
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H. Alnajjar and B. Curtin, A family of tridiagonal pairs related to the quantum affine algebra U q ( s l 2 ^ ) U_{q}(\widehat{sl2})
2005
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1999
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G.M. Gandenberger, On a 2 ( 1 ) a_{2}^{(1)} reflection matrices and affine Toda theories
1999
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G. Letzter, Coideal Subalgebras and Quantum Symmetric Pairs
1999
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P. Terwilliger, Two relations that generalize the q − q- Serre relations and the Dolan-Grady relations
1999
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E. Date and S. S. Roan, The structure of quotients of the Onsager algebra by closed ideals
2000
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P. Baseilhac and G.W. Delius, Coupling integrable field theories to mechanical systems at the boundary
2001
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T. Ito, K. Tanabe and P. Terwilliger, Some algebra related to P P - and Q Q -polynomial association schemes
2001
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P. Baseilhac, Deformed Dolan-Grady relations in quantum integrable models
2005
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P. Baseilhac, An integrable structure related with tridiagonal algebras
2005
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P. Baseilhac and K. Koizumi, A new (in)finite dimensional algebra for quantum integrable models
2005
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P. Baseilhac and K. Koizumi, A deformed analogue of Onsager’s symmetry in the XXZ open spin chain
2005
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A. Doikou, From affine Hecke algebras to boundary symmetries
2005
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P. Baseilhac, A family of tridiagonal pairs and related symmetric functions
2006
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P. Baseilhac and K. Koizumi, Exact spectrum of the XXZ open spin chain from the q-Onsager algebra representation theory
2007
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T. Ito and P. Terwilliger, Tridiagonal pairs and the quantum affine algebra U q ( s l 2 ^ ) U_{q}(\widehat{sl2})
2007
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2008
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