Geodesic
Variety of Jordan algebras in small dimensions
Algebra and discrete mathematics, no. 2 (2006), pp. 62-76

Voir la notice de l'article provenant de la source Math-Net.Ru

The variety $\mathcal{J}or_n$ of Jordan unitary algebra structures on $\bf{k}^n$, $\bf{k}$ an algebraically closed field with char $\bf {k}\neq 2$, is studied, as well as infinitesimal deformations of Jordan algebras. Also we establish the list of $\rm{GL}_n$-orbits on $\mathcal{J}or_n$, $n=4,5$ under the action of structural transport. The numbers $jor_4$ and $jor_5$ of irreducible components are 3 and 6 respectively; a list of generic structures is included. 
@article{ADM_2006_2_a7,
     author = {Iryna Kashuba},
     title = {Variety of {Jordan} algebras in small dimensions},
     journal = {Algebra and discrete mathematics},
     pages = {62--76},
     publisher = {mathdoc},
     number = {2},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2006_2_a7/}
}
TY  - JOUR
AU  - Iryna Kashuba
TI  - Variety of Jordan algebras in small dimensions
JO  - Algebra and discrete mathematics
PY  - 2006
SP  - 62
EP  - 76
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2006_2_a7/
LA  - en
ID  - ADM_2006_2_a7
ER  - 
%0 Journal Article
%A Iryna Kashuba
%T Variety of Jordan algebras in small dimensions
%J Algebra and discrete mathematics
%D 2006
%P 62-76
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2006_2_a7/
%G en
%F ADM_2006_2_a7
Iryna Kashuba. Variety of Jordan algebras in small dimensions. Algebra and discrete mathematics, no. 2 (2006), pp. 62-76. http://geodesic.mathdoc.fr/item/ADM_2006_2_a7/