R. Inoue et K. Hikami, CONSTRUCTION OF THE QUANTUM INTEGRABLE EQUATIONS ON SPACE-TIME LATTICE BASED ON THE LATTICE W-ALGEBRA, Journal of the Physical Society of Japan, 67(4), 1998, pp. 1163-1174
We study the dynamical system on the space-time lattice based on solut
ions of the Yang-Baxter equation. We construct the quantum integrable
difference-difference equations associated with the lattice W-N algebr
a. The classical lattice system and its time continuous limit are also
discussed.