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math.DG2020
On -para-Kähler Lie algebras a subclass of -symplectic Lie algebras
Hamid Abchir, Ilham Ait Brik, Mohamed Boucetta
-Para-Kähler Lie algebras are a generalization of para-Kähler Lie algebras and constitute a subclass of -symplectic Lie algebras. In this paper, we show that the char…
math.GT2020
On the minimum number of Fox Colorings of Knots
Hamid Abchir, Mohamed Elhamdadi, Soukaina Lamsifer
We investigate Fox colorings of knots that are 17-colorable. Precisely, we prove that any 17-colorable knot has a diagram such that exactly 6 among the seventeen colors are assigne…
math.GT2020
Generating links that are both quasi-alternating and almost alternating
Hamid Abchir, Mohammed Sabak
We construct an infinite family of links which are both almost alternating and quasi-alternating from a given either almost alternating diagram representing a quasi-alternating lin…