Integrable graded magnets

Abstract

Solutions of the graded Yang-Baxter equations are constructed which are invariant relative to the general linear and orthosymplectic supergroups. The Hamiltonians and other higher integrals (the transfer matrix) of spin systems on a finite lattice connected with the solutions found are diagonalized. A generalization of the Yang-Baxter equation to the case of the δ-commutative, G-graded Zamolodchikov algebra is presented. © 1986 Plenum Publishing Corporation.