Yang-Baxter Systems and Entwining Structures

Mathematics – Quantum Algebra

Scientific paper

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10 pages

Scientific paper

It is shown that a Yang-Baxter system can be constructed from any entwining
structure. It is also shown that, conversely, Yang-Baxter systems of certain
type lead to entwining structures. Examples of Yang-Baxter systems associated
to entwining structures are given, and a Yang-Baxter operator of Hecke type is
defined for any bijective entwining map.

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