8 citations · 24 across the 18 of their papers we have counts for
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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…
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…
Yang-Baxter Solutions from Categorical Augmented Racks
Masahico Saito, Emanuele Zappala
An augmented rack is a set with a self-distributive binary operation induced by a group action, and has been extensively used in knot theory. Solutions to the Yang-Baxter equation…
Yang-Baxter Hochschild Cohomology
Masahico Saito, Emanuele Zappala
Braided algebras are associative algebras endowed with a Yang-Baxter operator that satisfies certain compatibility conditions involving the multiplication. Along with Hochschild co…