Cohomology of the rational “electric” tetrahedron relation

N. M. Sadykov

Moscow Technological University, Moscow, Russia

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.

Keywords: tetrahedron equation, electric solution, cohomology of tetrahedron relation.

UDC: 512.662.1

Received: 22.12.2015

DOI: 10.4213/faa3273

 English version: Functional Analysis and Its Applications, 2017, 51:2, 123–134

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