Dynamical Yang-Baxter maps
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概要
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In this work, we propose and investigate dynamical Yang-Baxter maps, some of which produce solutions to the quantum dynamicalYang-Baxter equation. Suppose that L is a loop and a group. Iftheir unit elements coincide, then L gives birth to a bijective dynamicalYang-Baxter map from L×L to L×L whose dynamical parameter belongsto L. The above group L is abelian if and only if the correspondingdynamical Yang-Baxter map satisfies the unitary condition.
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