## 7 Citations

### On the Temperley–Lieb reflection matrices

- Mathematics
- 2010

This work concerns the boundary integrability of the spin- Temperley–Lieb model. A systematic computation method is used to construct the solutions of the boundary Yang–Baxter equations. For s…

### New reflection matrices for the Uq(gl(m|n)) case

- Mathematics
- 2009

We examine supersymmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated with the super…

### Spectrum of the supersymmetric t–J model with non-diagonal open boundaries

- Mathematics, Physics
- 2007

### A boundary matrix for AdS/CFT SU(1|1) spin chain

- Physics
- 2009

By solving the right reflection equation proposed in the reference (Hofman and Maldacena, 2007 J. High Energy Phys. JHEP11(2007)063 [arXiv:0708.2272]) to describe the Z = 0 giant graviton branes, we…

### Algebraic Bethe ansatz for U(1) invariant integrable models: The method and general results

- Mathematics
- 2009

### Temperley–Lieb K-matrices

- Mathematics
- 2011

This work concerns studies of boundary integrability of the vertex models from representations of the Temperley–Lieb algebra associated with the quantum group 𝒰q[Xn] for the affine Lie algebras Xn =…

### Multiplet Classification of Reducible Verma Modules over the G 2 Algebra

- MathematicsJournal of Physics: Conference Series
- 2019

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra G 2(2) which is split real form of G 2. We give…

### Reflection equation for the N = 3 Cremmer–Gervais R-matrix

- Mathematics
- 2010

We consider the reflection equation of the N = 3 Cremmer–Gervais R-matrix. The reflection equation is shown to be equivalent to 38 equations which do not depend on the parameter of the R-matrix, q.…

### On \mathcal {A}_{n-1}^{(1)} , \mathcal {B}_{n}^{(1)} , \mathcal {C}_{n}^{(1)} , \mathcal {D}_{n}^{(1)} , \mathcal {A}_{2n}^{(2)} , \mathcal {A}_{2n-1}^{(2)} , and \mathcal {D}_{n+1}^{(2)} reflection K-matrices

- Mathematics
- 2006

We present the classification of the most general regular solutions to the boundary Yang–Baxter equations for vertex models associated with non-exceptional affine Lie algebras. Reduced solutions…

## References

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### Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms

- Mathematics, Physics
- 1996

### Boundary K-matrices for the six vertex and the n(2n-1)An-1 vertex models

- Mathematics
- 1993

Boundary conditions compatible with integrability are obtained for two-dimensional models by solving the factorizability equations for the reflection matrices K+or-( theta ). For the six vertex model…

### Classification of solutions to the reflection equation for two-component systems

- Mathematics
- 1999

The symmetries, especially those related to the R-transformation, of the reflection equation (RE) for two-component systems are analysed. The classification of solutions to the RE for eight-, six-…

### Integrable XYZ spin chain with boundaries

- Physics, Mathematics
- 1994

We consider a general class of boundary terms of the open XYZ spin-1/2 chain compatible with integrability. We have obtained the general elliptic solution of a K-matrix obeying the boundary…

### Hecke algebra solutions to the reflection equation

- Mathematics
- 1994

We construct solutions to Sklyanin's reflection equation in the case in which the bulk Yang-Baxter solution is of Hecke algebra type. Each solution constitutes an extension of the Hecke algebra…