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math.QA2024
Deformation Cohomology for Braided Commutativity
Masahico Saito, Emanuele Zappala
Braided algebras are algebraic structures consisting of an algebra endowed with a Yang-Baxter operator, satisfying some compatibility conditions.Yang-Baxter Hochschild cohomology w…
math.QA2024
Perturbative Expansion of Yang-Baxter Operators
Emanuele Zappala
We study the deformations of a wide class of Yang-Baxter (YB) operators arising from Lie algebras. We relate the higher order deformations of YB operators to Lie algebra deformatio…