28 citations · 383 across the 40 of their papers we have counts for
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Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras
Mark D. Gould, Phillip S. Isaac, Jason L. Werry
We develop explicit formulae for the eigenvalues of various invariants for highest weight irreducible representations of the quantum supergroup . The techniques emplo…
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…
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…
Representations of the quantum doubles of finite group algebras and solutions of the Yang--Baxter equation
K. A. Dancer, P. S. Isaac, J. Links
Quantum doubles of finite group algebras form a class of quasi-triangular Hopf algebras which algebraically solve the Yang--Baxter equation. Each representation of the quantum doub…
Weak Hopf algebras corresponding to
N. Aizawa, P. S. Isaac
We investigate the weak Hopf algebras of Li based on and Sweedler's finite dimensional example. We give weak Hopf algebra isomorphisms between the weak generalisations…
On Quasi-Hopf superalgebras
Mark D. Gould, Yao-Zhong Zhang, Phillip S. Isaac
In this work we investigate several important aspects of the structure theory of the recently introduced quasi-Hopf superalgebras (QHSAs), which play a fundamental role in knot the…