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On pentagon, ten-term, and tetrahedron relations

R. M. Kashaev·S. M. Sergeev
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Abstract

The tetrahedron equation in a special substitution is reduced to a pair of pentagon and one ten-term equations. Various examples of solutions are found. $O$-doubles of Novikov, which generalize the Heisenberg double of a Hopf algebra, provide a particular algebraic solution to the problem.

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R. M. Kashaev, S. M. Sergeev. 1996-07-30. On pentagon, ten-term, and tetrahedron relations. https://arxiv.org/abs/q-alg/9607032

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