78 citations · 265 across the 23 of their papers we have counts for
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Notes on highest weight modules of the elliptic algebra
O. Foda, K. Iohara, M. Jimbo +3
We discuss a construction of highest weight modules for the recently defined elliptic algebra , and make several conjectures concerning them. The mo…
An elliptic quantum algebra for
Omar Foda, K. Iohara, M. Jimbo +3
An elliptic deformation of is proposed. Our presentation of the algebra is based on the relation , where and are eight-vertex -matrices wit…
Solutions to Knizhnik-Zamolodchikov equations with coefficients in non-bounded modules
Kenji Iohara, Feodor Malikov
We explicitly write dowm integral formulas for solutions to Knizhnik-Zamolodchikov equations with coefficients in non-bounded -- neither highest nor lowest weight -- $\gtsl_{n+1}$-…
Rings of skew polynomials and Gel'fand-Kirillov conjecture for quantum groups
Kenji Iohara, Feodor Malikov
We introduce and study action of quantum groups on skew polynomial rings and related rings of quotients. This leads to a ``q-deformation'' of the Gel'fand-Kirillov conjecture which…
Quantum affine symmetry in vertex models
Makoto Idzumi, Kenji Iohara, Michio Jimbo +3
We study the higher spin anologs of the six vertex model on the basis of its symmetry under the quantum affine algebra $U_q(\slth)$. Using the method developed recently for the XXZ…