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

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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.
12 pages, no figures

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Quantum Algebra, Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/62654

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111171
 http://arxiv.org/abs/math/0111171

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arXiv