arXiv subjects
Publications and source records attributed to Matthias Kouakou.
Let $A_{1} := k [t, \partial ]$ be the first algebra over a field $k$ of characteristic zero. One can associate to each right ideal $I$ of $A_1$ its Stafford subgroup, which is a subgroup of $\Aut_k(A_1)$, the automorphism group of the ring $A_1$. In this article we show that each Stafford subgroup is equal to its normalizer. For that, we study when the Stafford subgroup of a right ideal of $A_1$ contains a given Stafford subgroup.
In this article, we describe the right ideals of $A_1:=k[t,\partial]$, the first Weyl agebra, over any field $k$ of characteristic zero. For this, we define the notion of primary decomposable subspaces of $k[t]$. This description generalizes a result of Cannings and Holland obtained for an algebraically closed field $k$. Dans cet article, on décrit les idéaux à droite de $A_1$ sur un corps quelconque de caractéristique nulle. Pour cela on définit la notion de sous-espaces décomposables primaires de $k[t]$. Cette description généralise un résultat de Cannings et Holland obtenu pour un corps $k$ algébriquement clos.