Hiroshi Nishi, Akihiro Tojo, Maristela Lika Onozato, Rika Jimbo, Masaomi Nangaku, Hiroshi Uozaki, Kenji Hirano, Hiroyuki Isayama, Masao Omata and Shinya Kaname Nephrol Dial Transplant 2007; 22: 1273–1275; doi:10.1093/ndt/gfl672 In the above article, the name of the last author (Toshiro Fujita) was omitted. The correct author list should read as follows: Hiroshi Nishi, Akihiro Tojo, Maristela Li...

The Misra-Miwa v-deformed Fock space is a representation of the quantized affine algebra Uv(ŝl`). It has a standard basis indexed by partitions and the non-zero matrix entries of the action of the Chevalley generators with respect to this basis are powers of v. Partitions also index the polynomial Weyl modules for Uq(glN ) as N tends to infinity. We explain how the powers of v which appear in t...

We define and study a recurrence relation in Z, called the hexahedron recurrence, which is similar to the octahedron recurrence (Hirota bilinear difference equation) and cube recurrence (Miwa equation). Like these examples, solutions to the hexahedron recurrence are partition functions for configurations on a certain graph, and have a natural interpretation in terms of cluster algebras. We give...

A compact expression for the generating function of the constants of motion for the nonlinear Schrödinger equation is derived using the functional representation of the AKNS hierarchy.

We replace the ice Ansatz on matrix solutions of the Yang–Baxter equation by a weaker condition which we call rime. Rime solutions include the standard Drinfeld–Jimbo R-matrix. Solutions of the Yang–Baxter equation within the rime Ansatz which are maximally different from the standard one we call strict rime. A strict rime non-unitary solution is parameterized by a projective vector ~ φ. We sho...

Since its introduction (for reviews see e.g. [1]), the parametrized Yang-Baxter equation (YBE) has played a crucial role in nonlinear integrable systems in physics, such as exactly solvable statistical mechanics models and lowdimensional integrable field theories. Its constant form has also appeared in knot theory, where it is connected with braid groups. In addition, the YBE has inspired the d...

We derive the order parameter of the chiral Potts model, using the method of Jimbo et al. The result agrees with previous conjectures.