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nlin.SI2000
The method of vacuum vectors in the theory of Yang - Baxter equation
I. G. Korepanov
In modern terminology, this is the first published paper where the solutions of Yang - Baxter equation "at roots of unity" were analyzed and shown to be related to algebraic curves…
nlin.SI2000
A formula with hypervolumes of six 4-simplices and two discrete curvatures
I. G. Korepanov
One of the generalizations of the pentagon equation to higher dimensions is the so-called "six-term equation". Geometrically, it corresponds to one of the "Alexander moves", that i…
nlin.SI2000
A formula with volumes of five tetrahedra and discrete curvature
I. G. Korepanov
Given five points in a three-dimensional euclidean space, one can consider five tetrahedra, using those points as vertices. We present a pentagon-like formula containing the produc…