25 citations · 58 across the 12 of their papers we have counts for
12 papers
Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D_3) symmetry
C. W. Campbell, K. A. Dancer, P. S. Isaac +1
The exact solution for the energy spectrum of a one-dimensional Hamiltonian with local two-site interactions and periodic boundary conditions is determined. The two-site Hamiltonia…
Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras
P. E. Finch, K. A. Dancer, P. S. Isaac +1
The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang-Baxter equation. Use of the 2-dimensional representations recovers the six-vertex mod…
Integrable boundary conditions for a non-abelian anyon chain with symmetry
K. A. Dancer, P. E. Finch, P. S. Isaac +1
A general formulation of the Boundary Quantum Inverse Scattering Method is given which is applicable in cases where -matrix solutions of the Yang--Baxter equation do not have th…
Universal spectral parameter-dependent Lax operators for the Drinfeld double of the dihedral group
K. A. Dancer, J. Links
Two universal spectral parameter-dependent Lax operators are presented in terms of the elements of the Drinfeld double of the dihedral group . Applying representation…
Universal Baxterization for -graded Hopf algebras
K. A. Dancer, P. E. Finch, P. S. Isaac
We present a method for Baxterizing solutions of the constant Yang-Baxter equation associated with -graded Hopf algebras. To demonstrate the approach, we provide exampl…
Premonoidal categories associated with representations of finite groups and their quantum doubles
L. D. Wagner, J. Links, P. S. Isaac +2
We study the construction of premonoidal categories, where the pentagon relation fails, through representations of finite group algebras and their quantum doubles. Both finite grou…