Heisenberg Double and Pentagon Relation

R. M. Kashaev

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arXiv · q-alg/9503005

Heisenberg Double and Pentagon Relation

R. M. Kashaev

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Abstract

It is shown that the Heisenberg double has a canonical element, satisfying the pentagon relation. From a given invertible constant solution to the pentagon relation one can restore the structure of the underlying algebras. Drinfeld double can be realized as a subalgebra in the tensor square of the Heisenberg double. This enables one to write down solutions to the Yang-Baxter relation in terms of solutions to the pentagon relation.

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R. M. Kashaev. 1995-03-14. Heisenberg Double and Pentagon Relation. https://arxiv.org/abs/q-alg/9503005

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