14 citations · 18 across the 5 of their papers we have counts for
5 papers
States with v1=lambda, v2=-lambda and reciprocal equations in the six-vertex model
M. J. Rodriguez-Plaza
The eigenvalues of the transfer matrix in a six-vertex model (with periodic boundary conditions) can be written in terms of n constants v1,...,vn, the zeros of the function Q(v). A…
Link invariants from -state vertex models: an alternative construction independent of statistical models
M. J. Rodriguez-Plaza
We reproduce the hierarchy of link invariants associated to the series of -state vertex models with a method different from the original construction due to Akutsu, Deguchi and…
Nonstandard Quantum Groups and Superisation
S. Majid, M. J. Rodriguez-Plaza
We obtain the universal R-matrix of the non-standard quantum group associated to the Alexander-Conway knot polynomial. We show further that this non-standard quantum group is relat…
Anyonic FRT construction
Shahn Majid, M. J. Rodriguez-Plaza
The Faddeev-Reshetikhin-Takhtajan method to construct matrix bialgebras from non-singular solutions of the quantum Yang-Baxter equation is extended to the anyonic or -graded…
Quantum and super-quantum group related to the Alexander-Conway polynomial
Shahn Majid, M. J Rodriguez-Plaza
We describe the quasitriangular structure (universal -matrix) on the non-standard quantum group associated to the Alexander-Conway matrix solution of the Ya…