Contents > Past issues > Volume 2

**On Differential Operators**
's
automorphisms group in

** Kouakou M. K. **

UFR Mathématiques et Informatique

Université de Cocody, 22 BP 582 Abidjan 22, Côte d'Ivoire

**Tchoudjem A.
**

Université Claude Bernard Lyon I, Institut Camille-Jordan, France

Abstract:

Let
be the first algebra over a field
of characteristic zero and
a right ideal of
.
The subgroup of Stafford associated to
denoted
is :

By J.T. Stafford in [5], it is known that subgroups
are isomorphic to automorphisms groups
,
where
is the
-algebra
of differentials operators over an algebraic affine curve
.
Due to Stafford, it is known at this step that the
isomorphic to
where
is the well-known algebraic affine curve defined by the equation:
,
is equal to its own normalizer in
.

We will show in this paper that for any ideal
,
is equal to its own normalizer, precisely we show that for any right ideal
and
non principal, one has :

from which it follows that
is equal to its own normalizer in
.