A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation
نویسندگان
چکیده
Cycle sets are known to give non-degenerate unitary solutions of the Yang--Baxter equation and linear cycle enriched versions these algebraic systems. The paper explores recently developed cohomology extension theory for sets. We derive a four term exact sequence relating 1-cocycles, second certain groups automorphisms arising from central extensions This is an analogue similar group due Wells. also compare with that their underlying abelian discuss generalities on dynamical 2-cocycles.
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2022
ISSN: ['1532-0073', '1532-0081']
DOI: https://doi.org/10.4310/hha.2022.v24.n2.a2