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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 3, Pages 513–528
DOI: https://doi.org/10.4213/tmf6519 (Mi tmf6519) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A matrix solution of the pentagon equation with anticommuting variables

S. I. Bel'kov, I. G. Korepanov

South Ural State University, Chelyabinsk, Russia
Full-text PDF (514 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf6519
Abstract: We construct a solution of the pentagon equation with anticommuting variables on two-dimensional faces of tetrahedra. In this solution, matrix coordinates are assigned to tetrahedron vertices. Because matrix multiplication is noncommutative, this provides a “more quantum” topological field theory than in our previous works.
Keywords: pentagon equation, topological quantum field theory, algebraic complex, torsion.
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 3, Pages 819–830
DOI: https://doi.org/10.1007/s11232-010-0066-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. I. Bel'kov, I. G. Korepanov, “A matrix solution of the pentagon equation with anticommuting variables”, TMF, 163:3 (2010), 513–528; Theoret. and Math. Phys., 163:3 (2010), 819–830
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\crossref{https://doi.org/10.1007/s11232-010-0066-7}
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Linking options:
  • https://www.mathnet.ru/eng/tmf6519
  • https://doi.org/10.4213/tmf6519
  • https://www.mathnet.ru/eng/tmf/v163/i3/p513
    • This publication is cited in the following 1 articles:
    1. Igor G. Korepanov, “Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves”, SIGMA, 7 (2011), 117, 23 pp.  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:508
    Full-text PDF :222
    References:65
    First page:16
     
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