On pentagon, ten-term, and tetrahedron relations
classification
q-alg
math.QA
keywords
pentagonten-termtetrahedronalgebraalgebraicdoubledoublesequation
read the original 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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