256 citations · 684 across the 40 of their papers we have counts for
8 papers · 1 filter
Quantum Group Theory in -model, Duality of -model and XXZ-model with Cyclic -representation for , and Chiral Potts Model
Shi-shyr Roan
We identify the quantum group ${\Large\textsl{U}}_\textsl{w}(sl_2)$ in the -operator of -model for a generic $\textsl{w}$ as a subalgebra of with $\t…
Eigenvectors of an Arbitrary Onsager Sector in Superintegrable -model and Chiral Potts Model
Shi-shyr Roan
We study the eigenvector problem in homogeneous superintegrable -state chiral Potts model (CPM) by the symmetry principal. Using duality symmetry and (spin-)inversion in CPM, to…
Structure of Certain Chebyshev-type Polynomials in Onsager's Algebra Representation
Shi-shyr Roan
In this report, we present a systematic account of mathematical structures of certain special polynomials arisen from the energy study of the superintegrable -state chiral Potts…
Bethe Ansatz Equations of XXZ Model and q-Sturm-Liouville Problems
M. E. H. Ismail, S. S. Lin, S. S. Roan
In this article we have discovered a close relationship between the (algebraic) Bethe Ansatz equations of the spin XXZ model of a finite size and the -Sturm-Liouville proble…
Quantum Reduction for Affine Superalgebras
Victor G. Kac, Shi-shyr Roan, Minoru Wakimoto
We extend the homological method of quantization of generalized Drinfeld--Sokolov reductions to affine superalgebras. This leads, in particular, to a unified representation theory…
Algebraic Geometry and Hofstadter Type Model
Shao-shiung Lin, Shi-shyr Roan
In this report, we study the algebraic geometry aspect of Hofstadter type models through the algebraic Bethe equation. In the diagonalization problem of certain Hofstadter type Ham…