On pentagon, ten-term, and tetrahedron relations
Abstract
Description
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.
LaTeX, 10 pages
LaTeX, 10 pages