## One Citation

### Generalised Onsager Algebra in Quantum Lattice Models

- MathematicsSciPost Physics
- 2022

The Onsager algebra is one of the cornerstones of exactly solvable models in statistical mechanics. Starting from the generalised Clifford algebra, we demonstrate its relations to the graph…

## 65 References

### Onsager's algebra and superintegrability

- Mathematics
- 1990

The author considers the irreducible representations of the Onsager algebra, and shows that for a finite system, possessing such an algebra leads to an Ising-like structure in the spectra of…

### Dolan–Grady relations and noncommutative quasi-exactly solvable systems

- Mathematics, Physics
- 2003

We investigate a U(1) gauge invariant quantum mechanical system on a 2D noncommutative space with coordinates generating a generalized deformed oscillator algebra. The Hamiltonian is taken as a…

### New symmetries of the chiral Potts model

- Mathematics
- 2012

In this paper a hitherto unknown spectrum generating algebra, consisting of two coupled Temperley–Lieb algebras, is found in the three-state chiral Potts model. From this, we can construct new…

### Free parafermions

- Physics
- 2013

The spectrum of the quantum Ising chain can be found by expressing the spins in terms of free fermions. An analogous transformation exists for clock chains with Zn?> symmetry, but is of less use…

### Onsager’s algebra and the Dolan–Grady condition in the non‐self‐dual case

- Mathematics
- 1991

In this paper, it is shown that a pair of operators that satisfy the Dolan–Grady conditions generate an Onsager algebra even in the case that they are not self‐dual. Briefly considered will be the…

### Exact solution of a cluster model with next-nearest-neighbor interaction

- Physics, MathematicsProgress of Theoretical and Experimental Physics
- 2020

A 1D cluster model with next-nearest-neighbor interactions and two additional composite interactions is solved; the free energy is obtained and a correlation function is derived exactly. The model…