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

R. M. Kashaev·N. Reshetikhin
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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.

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R. M. Kashaev, N. Reshetikhin. 2001-11-15. Symmetrically Factorizable Groups and Set-Theoretical Solutions of the Pentagon Equation. https://arxiv.org/abs/math/0111171

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