Аннотации:
An eight-vertex model on a square lattice over a Grassmann algebra is investigated
using an equation that is a three-dimensional generalization of the Yang-Baxter equation.
Anticommuting quantum spin systems are studied, where the quasiclassical limit leads to some
abstract classical physics with anticommuting variables. The solution of the quantum YangBaxter equation is the R - matrix, which corresponds to the transfer R - matrix of the eightvertex model of statistical mechanics.
