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arXiv · 1504.03314

Two-color solutions of set-theoretic tetrahedron equation and their cohomologies

Nurlan M. Sadykov
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Abstract

All solutions of the set-theoretic constant tetrahedron equation with two colors are found, and some of their properties are analyzed. The list includes 406 solutions - we call them R-operators, - most of which are degenerate (non-bijective). Then, we calculate the 3-cohomologies for our R-operators, and discuss the applicability of our results to 3-dimensional statistical physics.

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Nurlan M. Sadykov. 2015-04-10. Two-color solutions of set-theoretic tetrahedron equation and their cohomologies. https://arxiv.org/abs/1504.03314

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