Quasi-commutative algebras

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We characterise algebras commutative with respect to a Yang-Baxter operator (quasi-commutative algebras) in terms of certain cosimplicial complexes. In some cases this characterisation allows the classification of all possible quasi-commutative structures.

💡 Research Summary

The paper introduces a systematic characterization of algebras that are “commutative up to a Yang‑Baxter operator,” which the author calls quasi‑commutative algebras. The central observation is that the quasi‑commutativity condition
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Quasi-commutative algebras

💡 Research Summary

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