English

On pentagon, ten-term, and tetrahedron relations

q-alg 2008-02-03 v1 Quantum Algebra

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. OO-doubles of Novikov, which generalize the Heisenberg double of a Hopf algebra, provide a particular algebraic solution to the problem.

Cite

@article{arxiv.q-alg/9607032,
  title  = {On pentagon, ten-term, and tetrahedron relations},
  author = {R. M. Kashaev and S. M. Sergeev},
  journal= {arXiv preprint arXiv:q-alg/9607032},
  year   = {2008}
}

Comments

LaTeX, 10 pages