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Funktsional'nyi Analiz i ego Prilozheniya, 2017, Volume 51, Issue 2, Pages 57–71
DOI: https://doi.org/10.4213/faa3273 (Mi faa3273) 		 
Cohomology of the rational “electric” tetrahedron relation

N. M. Sadykov

Moscow Technological University, Moscow, Russia
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DOI: https://doi.org/10.4213/faa3273
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.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-31019
This work was supported by the Russian Foundation for Basic Research, project no. 14-01-31019.
Received: 22.12.2015
English version:
Functional Analysis and Its Applications, 2017, Volume 51, Issue 2, Pages 123–134
DOI: https://doi.org/10.1007/s10688-017-0174-3
Bibliographic databases:
Document Type: Article
UDC: 512.662.1
Language: Russian
Citation: N. M. Sadykov, “Cohomology of the rational “electric” tetrahedron relation”, Funktsional. Anal. i Prilozhen., 51:2 (2017), 57–71; Funct. Anal. Appl., 51:2 (2017), 123–134
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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