IJPAM: Volume 36, No. 2 (2007)
GROUP BY THE METHOD OF VECTOR ENVELOPES
Département de Mathématiques
École Nationale des Sciences Appliquées
B.P. 473, Oujda, MOROCCO
e-mail: ali_ouadfel@yahoo.fr
Abstract.The existence for any affine space A over a field 
of a
pair
, termed the vector envelope of 
, and
consisting of a vector space 
and an affine transformation
from 
to 
, can be used to identify (respectively the associated vector space
) with an affine hyperplane of (respectively with a
vector hyperplane of ).
In this article, an attempt is made, using the concept of vector
envelope of an affine space, to characterize the elements of the Lie algebra
dual of the Lie group of the open-orbit affine transformations for the
coadjoint representation.
Received: November 11, 2006
AMS Subject Classification: 22E60, 17B45, 14L35
Key Words and Phrases: affine space, affine group, vector envelope, coadjoint orbit
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 36
Issue: 2
