8 citations · 24 across the 18 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.GT2022★ 1 cited
Deformations of Yang-Baxter operators via -Lie algebra cohomology
Mohamed Elhamdadi, Emanuele Zappala
We introduce a cohomology theory of -ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations. For -ary self-dis…
math.GT2022
Extensions of Augmented Racks and Surface Ribbon Cocycle Invariants
Masahico Saito, Emanuele Zappala
A rack is a set with a binary operation that is right-invertible and self-distributive, properties diagrammatically corresponding to Reidemeister moves II and III, respectively. A…
math.RA2022
Decomposition of the regular representation for dihedral quandles
Mohamed Elhamdadi, Prasad Senesi, Emanuele Zappala
We decompose the regular quandle representation of a dihedral quandle into irreducible quandle subrepresentations.