Symmetry of $osp(m|n)$ spin Calogero models (2007)
We introduce osp(m|n) spin Calogero models and find that the models have the symmetry of osp(m|n) half-loop algebra if and only if the coupling constant of the model equals to 2/(m-n-4).
The Lie algebraic structure of extended Sutherland models (2004)
We disclose the Lie algebraic structure of two extended Sutherland models. Their Hamiltonians are BC_N, and A_N Sutherland Hamiltonians with some additional terms. We show that both Hamiltonians can...
A spin-shift relation of the Ruijsenaars-Schneider Hamiltonian of type $C_n$ (2003)
We constract a spin-shift relation of the trigonometric Ruijsenaars-Schneider Hamiltonian of type $C_n$. This is a succesive study of our previous paper whose title is " A Spin-Shift Operator of the...
Spectral decomposition of path space in solvable lattice model (1996)
Arakawa, Tomoyuki, Nakanishi, Tomoki, Oshima, Kazuyuki, Tsuchiya, Akihiro
Spectral Decomposition of Path Space in Solvable Lattice Model (1995)
Arakawa, Tomoyuki, Nakanishi, Tomoki, Oshima, Kazuyuki, Tsuchiya, Akihiro
We give the {\it spectral decomposition} of the path space of the $U_q(\hatsl)$ vertex model with respect to the local energy functions. The result suggests the hidden Yangian module structure on the...