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Nonstandard solutions of the YangBaxter equation
 H2] [H3] [JKOS] [KhT] [S
, 1998
"... Abstract. Explicit solutions of the quantum YangBaxter equation are given corresponding to the nonunitary solutions of the classical YangBaxter equation for sl(5). 1. ..."
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Abstract. Explicit solutions of the quantum YangBaxter equation are given corresponding to the nonunitary solutions of the classical YangBaxter equation for sl(5). 1.
YangBaxter Equation in
, 1993
"... We consider the su(n) spin chains with long range interactions and the spin generalization of the CalogeroSutherland models. We show that their properties derive from a transfer matrix obeying the YangBaxter equation. We obtain the expression of the conserved quantities and we diagonalise them. ..."
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We consider the su(n) spin chains with long range interactions and the spin generalization of the CalogeroSutherland models. We show that their properties derive from a transfer matrix obeying the YangBaxter equation. We obtain the expression of the conserved quantities and we diagonalise them.
ON THE DYNAMICAL YANGBAXTER EQUATION
, 2002
"... This talk is inspired by two previous ICM talks, [Dr] and [Fe]. Namely, one of the main ideas of [Dr] is that the quantum YangBaxter equation (QYBE), which is an important equation arising in quantum field theory and statistical mechanics, is best understood within the framework of Hopf algebras, o ..."
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This talk is inspired by two previous ICM talks, [Dr] and [Fe]. Namely, one of the main ideas of [Dr] is that the quantum YangBaxter equation (QYBE), which is an important equation arising in quantum field theory and statistical mechanics, is best understood within the framework of Hopf algebras
ON THE DYNAMICAL YANGBAXTER EQUATION
, 2003
"... This talk is inspired by two previous ICM talks, [Dr] and [Fe]. Namely, one of the main ideas of [Dr] is that the quantum YangBaxter equation (QYBE), which is an important equation arising in quantum field theory and statistical mechanics, is best understood within the framework of Hopf algebras, o ..."
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This talk is inspired by two previous ICM talks, [Dr] and [Fe]. Namely, one of the main ideas of [Dr] is that the quantum YangBaxter equation (QYBE), which is an important equation arising in quantum field theory and statistical mechanics, is best understood within the framework of Hopf algebras
Generalized YangBaxter Equation
, 1993
"... A generalization of the YangBaxter equation is proposed. It enables to construct integrable twodimensional lattice models with commuting twolayer transfer matrices, while singlelayer ones are not necessarily commutative. Explicit solutions to the generalized equations are found. They are related ..."
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A generalization of the YangBaxter equation is proposed. It enables to construct integrable twodimensional lattice models with commuting twolayer transfer matrices, while singlelayer ones are not necessarily commutative. Explicit solutions to the generalized equations are found. They are related
The Yang–Baxter equation
, 2015
"... • Original Yang–Baxter Equation: For V a Cvector space and R: V ⊗ V → V ⊗ V, R12(a)R23(a+ b)R23(b) = R23(b)R23(a+ b)R12(a). (∗) • Substituting R with PR, where P(x ⊗ y): = y ⊗ x, (∗) becomes ..."
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• Original Yang–Baxter Equation: For V a Cvector space and R: V ⊗ V → V ⊗ V, R12(a)R23(a+ b)R23(b) = R23(b)R23(a+ b)R12(a). (∗) • Substituting R with PR, where P(x ⊗ y): = y ⊗ x, (∗) becomes
On The SetTheoretical YangBaxter Equation
 Acta Universitatis Apulensis
, 2003
"... Introduction. The YangBaxter equation first appeared in theoretical physics. Afterwards, it proved to be important also in knot theory, quantum groups, etc. Many authors gave classes of solutions for the YangBaxter equation, but finding all solution in an arbitrary dimension ()2>n is an unsolve ..."
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Introduction. The YangBaxter equation first appeared in theoretical physics. Afterwards, it proved to be important also in knot theory, quantum groups, etc. Many authors gave classes of solutions for the YangBaxter equation, but finding all solution in an arbitrary dimension ()2>
of YangBaxter equation and deformed Yangians
, 1996
"... Abstract. In this paper a class of new quantum groups is presented: deformed Yangians. They arise from rational solutions of the classical YangBaxter equation of the form c2 u + const. The universal quantum Rmatix for a deformed Yangian is described. Its image in finitedimensional representations ..."
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Abstract. In this paper a class of new quantum groups is presented: deformed Yangians. They arise from rational solutions of the classical YangBaxter equation of the form c2 u + const. The universal quantum Rmatix for a deformed Yangian is described. Its image in finite
On Solutions to the Twisted YangBaxter equation
, 1994
"... Dedicated to L.D.Faddeev on his 60 th birthday Abstract. Solutions to the twisted YangBaxter equation arising from intertwiners for cyclic representations of Uq ( ̂ sln) are described via two coupled the lattice current algebras. ..."
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Dedicated to L.D.Faddeev on his 60 th birthday Abstract. Solutions to the twisted YangBaxter equation arising from intertwiners for cyclic representations of Uq ( ̂ sln) are described via two coupled the lattice current algebras.
THE STRONGLY SYMMETRIC ELEMENTS AND SOLUTIONS OF YANGBAXTER EQUATION ∗
, 2003
"... It is shown that all strongly symmetric elements are solutions of constant classical YangBaxter equation in Lie algebra, or of quantum YangBaxter equation in algebra. Otherwise, all solutions of constant classical YangBaxter equation (CYBE) in Lie algebra L with dim L ≤ 3 over field k of characte ..."
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It is shown that all strongly symmetric elements are solutions of constant classical YangBaxter equation in Lie algebra, or of quantum YangBaxter equation in algebra. Otherwise, all solutions of constant classical YangBaxter equation (CYBE) in Lie algebra L with dim L ≤ 3 over field k
Results 1  10
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