On pentagon, ten-term, and tetrahedron relations
arXiv:q-alg/9607032
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. -doubles of Novikov, which generalize the Heisenberg double of a Hopf algebra, provide a particular algebraic solution to the problem.
LaTeX, 10 pages