Heisenberg Double and Pentagon Relation
q-alg
2016-09-08 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.q-alg/9503005,
title = {Heisenberg Double and Pentagon Relation},
author = {R. M. Kashaev},
journal= {arXiv preprint arXiv:q-alg/9503005},
year = {2016}
}
Comments
7 pages, LaTeX