Heisenberg Double and Pentagon Relation

Details Heisenberg Double and Pentagon Relation Heisenberg Double and Pentagon Relation

1995-03-14

arxiv.org/abs/q-alg/9503005v1

Mathematics

Quantum Algebra

7 pages, LaTeX

Scientific paper

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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