Yassine Ait Mohamed

collaborators

4 papers

math.SG2026

Integration and quantization of 1-shifted coisotropics

Yassine Ait Mohamed, Maxence Mayrand

To quantize the reduction of a coisotropic submanifold of a Poisson manifold, Cattaneo and Felder constructed a homotopy Poisson algebra together with a deformation quantization. I…

math.RA2026

Group-graded Ore extensions and graded simplicity

Yassine Ait Mohamed

We study Ore extensions $R [t; σ, δ]$ of rings graded by an arbitrary group $Γ$ . The grading of $R$ extends to a grading with $t$ homogeneous of degree $γ$ if and only if $σ$ and $δ$ …

math.RA2026

Graded differential polynomial rings

Yassine Ait Mohamed

We study differential polynomial rings $R [t; δ]$ over $Γ$ -graded rings, where $Γ$ is an arbitrary group. We show that $R [t; δ]$ admits a $Γ$ -grading compatible with that of $R$ if an…

math.RA2024

Generalized Homogeneous Derivations on Graded Rings

Yassine Ait Mohamed

We introduce a notion of generalized homogeneous derivations on graded rings as a natural extension of the homogeneous derivations defined by Kanunnikov. We then define gr-generali…