On pentagon, ten-term, and tetrahedron relations

Details On pentagon, ten-term, and tetrahedron relations On pentagon, ten-term, and tetrahedron relations

1996-07-30

arxiv.org/abs/q-alg/9607032v1

Mathematics

Quantum Algebra

LaTeX, 10 pages

Scientific paper

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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