## 9 Citations

### Reflection matrices associated with an Onsager coideal of and

- Mathematics
- 2019

We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra Up(A (1) n−1) in the fundamental representations and Up(B (1) n ), Up(D (1) n ), Up(D (2) n+1)…

### Shift invariance of half space integrable models

- Mathematics
- 2022

. We formulate and establish symmetries of certain integrable half space models, analogous to recent results on symmetries for models in a full space. Our starting point is the colored stochastic six…

### Reflection K matrices associated with an Onsager coideal of Up(An−1(1)),Up(Bn(1)),Up(Dn(1)) and Up(Dn+1(2))

- Mathematics
- 2019

We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra in the fundamental representations and in the spin representations. They reproduce the…

### Integrable boundaries for the q-Hahn process

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2022

Taking inspiration from the harmonic process with reservoirs introduced by Frassek, Giardinà and Kurchan in (2020 J. Stat. Phys. 180 135–71), we propose integrable boundary conditions for its…

### Generic triangular solutions of the reflection equation: U q ( s l 2 ̂ ) case

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2020

We consider intertwining relations of the triangular q-Onsager algebra, and obtain generic triangular boundary K-operators in terms of the Borel subalgebras of U q (sl 2). These K-operators solve the…

### Random Walk on Nonnegative Integers in Beta Distributed Random Environment

- MathematicsCommunications in Mathematical Physics
- 2022

We consider random walks on the nonnegative integers in a space-time dependent random environment. We assume that transition probabilities are given by independent Beta(μ, μ) distributed random…

### Non-compact Quantum Spin Chains as Integrable Stochastic Particle Processes

- MathematicsJournal of Statistical Physics
- 2019

In this paper we discuss a family of models of particle and energy diffusion on a one-dimensional lattice, related to those studied previously in Sasamoto and Wadati (Phys Rev E 58:4181–4190, 1998),…

### Reflection $\boldsymbol{K}$ matrices associated with an Onsager coideal of $\boldsymbol{U_p(A^{(1)}_{n-1})}, \boldsymbol{U_p(B^{(1)}_{n})}, $ $ \boldsymbol{U_p(D^{(1)}_{n})}$ and $\boldsymbol{U_p(D^{(2)}_{n+1})}$

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2019

We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra $U_p(A^{(1)}_{n-1})$ in the fundamental representations and $U_p(B^{(1)}_{n}), U_p(D^{(1)}_{n}),…

## References

SHOWING 1-10 OF 41 REFERENCES

### Higher spin six vertex model and symmetric rational functions

- Mathematics
- 2016

We consider a fully inhomogeneous stochastic higher spin six vertex model in a quadrant. For this model we derive concise integral representations for multi-point q-moments of the height function and…

### 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…

### Lectures on Integrable Probability: stochastic vertex models and symmetric functions

- Mathematics
- 2018

We consider a homogeneous stochastic higher spin six vertex model in a quadrant. For this model we derive concise integral representations for multi-point q-moments of the height function and for the…

### A complete Bethe ansatz solution for the open spin-s XXZ chain with general integrable boundary terms

- Mathematics
- 2007

We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters…

### Construction of R-matrices for symmetric tensor representations related to U q ( sl n ˆ )

- Mathematics
- 2016

In this paper we construct a new factorized representation of the R-matrix related to the affine algebra U q ( sl n ^ ) for symmetric tensor representations with arbitrary weights. Using the 3D…

### Matrix product solutions to the reflection equation from three dimensional integrability

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2018

We formulate a quantized reflection equation in which q-boson valued L and K matrices satisfy the reflection equation up to conjugation by a solution to the Isaev–Kulish 3D reflection equation. By…

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

- Mathematics, Physics
- 1996