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nlin.SI2009★ 6 cited
Classical integrable field theories in discrete 2+1 dimensional space-time
Sergey M. Sergeev
We study "circular net" (discrete orthogonal net) equations for angular data generalized by external spectral parameters. A criterion defining physical regimes of these Hamiltonian…
nlin.SI2008★ 1 cited
Tetrahedron equations, boundary states and hidden structure of U_q(D_n^1)
S. M. Sergeev
Simple periodic 3d->2d compactification of the tetrahedron equations gives the Yang-Baxter equations for various evaluation representations of U_q(sl_n). In this paper we construct…