Cohomology of the rational “electric” tetrahedron relation


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Abstract

A tetrahedral cochain complex is generalized to the case of the functional “electric” solution of the tetrahedron equation, which is expressed in terms of rational functions. The nontrivial part of the 3-cohomology group for this solution is calculated. It turns out to be the free Abelian group with one generator; the generator is explicitly specified.

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N. M. Sadykov

Moscow Technological University

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Email: anclecharly@gmail.com
Russian Federation, Moscow

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