Permutation-type solutions to the Yang-Baxter and other n-simplex equations
q-alg
2009-10-30 v3 量子代数
摘要
We study permutation type solutions to n-simplex equations, that is, solutions whose R matrix can be written as a product of delta- functions depending linearly on the indices. With this ansatz the D^{n(n+1)} equations of the n-simplex equation reduce to an [n(n+1)/2+1]x[n(n+1)/2+1] matrix equation over Z_D. We have completely analyzed the 2-, 3- and 4-simplex equations in the generic D case. The solutions show interesting patterns that seem to continue to still higher simplex equations.
引用
@article{arxiv.q-alg/9702006,
title = {Permutation-type solutions to the Yang-Baxter and other n-simplex equations},
author = {Jarmo Hietarinta},
journal= {arXiv preprint arXiv:q-alg/9702006},
year = {2009}
}
备注
20 pages, LaTeX2e. to appear in J. Phys. A: Math. Gen. (1997)