Symmetrically Factorizable Groups and Set-Theoretical Solutions of the Pentagon Equation
Quantum Algebra
2007-05-23 v1 Group Theory
Abstract
The notion of a symmetrically factorizable Lie group is introduced. It is shown that each symmetrically factorizable Lie group is related to a set-theoretical solution of the pentagon equation. Each simple Lie group (after a certain Abelian extension) is symmetrically factorizable.
Cite
@article{arxiv.math/0111171,
title = {Symmetrically Factorizable Groups and Set-Theoretical Solutions of the Pentagon Equation},
author = {R. M. Kashaev and N. Reshetikhin},
journal= {arXiv preprint arXiv:math/0111171},
year = {2007}
}
Comments
12 pages, no figures