16 citations · 29 across the 5 of their papers we have counts for
5 papers
Laurent polynomial solutions of the boundary quantum Knizhnik--Zamolodchikov equation
Keiichi Shigechi
We construct Laurent polynomial solutions of the boundary quantum Knizhnik--Zamolodchikov equation for on the parabolic Kazhdan--Lusztig bases.…
A Positive integral property on the ground state of the two-boundary Temperley--Lieb Hamiltonian
Keiichi Shigechi
We study the two-boundary Temperley--Lieb loop model on Kazhdan--Lusztig bases of type A and B. We obtain explicit expressions of the ground state of the two-boundary Temper…
Canonical bases of a coideal subalgebra in
Keiichi Shigechi
We consider tensor products of finite-dimensional representations of a coideal subalgebra in . We present an explicit expression for the dual of the canonic…
Kazhdan-Lusztig polynomials for the Hermitian symmetric pair
Keiichi Shigechi
We provide combinatorial rules to compute Kazhdan--Lusztig polynomials for the Hermitian symmetric pair when the Hecke algebra has unequal parameters. They are obta…
Exact finite size groundstate of the O(n=1) loop model with open boundaries
Jan de Gier, Anita Ponsaing, Keiichi Shigechi
We explicitly describe certain components of the finite size groundstate of the inhomogeneous transfer matrix of the O(n=1) loop model on a strip with non-trivial boundaries on bot…