Symmetrically Factorizable Groups and Set-Theoretical Solutions of the Pentagon Equation

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62654The 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.12 pages, no figuresQuantum AlgebraGroup TheorySymmetrically Factorizable Groups and Set-Theoretical Solutions of the Pentagon Equationtext