Geodesic
A~matrix solution of the~pentagon equation with anticommuting variables
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 3, pp. 513-528

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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
Mots-clés : torsion. 
@article{TMF_2010_163_3_a14,
     author = {S. I. Bel'kov and I. G. Korepanov},
     title = {A~matrix solution of the~pentagon equation with anticommuting variables},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {513--528},
     publisher = {mathdoc},
     volume = {163},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a14/}
}
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S. I. Bel'kov; I. G. Korepanov. A~matrix solution of the~pentagon equation with anticommuting variables. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 3, pp. 513-528. http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a14/