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

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

2001-11-15

arxiv.org/abs/math/0111171v1

Mathematics

Quantum Algebra

12 pages, no figures

Scientific paper

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.

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