Geodesic
Cohomology of the rational ``electric'' tetrahedron relation
Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 2, pp. 57-71

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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.
Mots-clés : tetrahedron equation, electric solution
Keywords: cohomology of tetrahedron relation. 
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     author = {N. M. Sadykov},
     title = {Cohomology of the rational ``electric'' tetrahedron relation},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {57--71},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2017_51_2_a5/}
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N. M. Sadykov. Cohomology of the rational ``electric'' tetrahedron relation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 2, pp. 57-71. http://geodesic.mathdoc.fr/item/FAA_2017_51_2_a5/