open access

https://hdl.handle.net/2115/70241

Dynamical Yang-Baxter Maps

英語

2005

Hokkaido University Preprint Series in Mathematics

717

Based on the intention of the author, we only register abstracts.

In this work, we propose and investigate dynamical Yang-Baxter maps, some of which produce solutions to the (quantum) dynamical Yang-Baxter equation. Suppose that L is a loop and a group. If their unit elements coincide, then L gives birth to a bijective dynamical Yang-Baxter map from L x L to L x L whose dynamical parameter belongs to L. The above group L is abelian if and only if the corresponding dynamical Yang-Baxter map satisfies the unitary condition.

その他

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