Geodesic
On Prime Z-graded Lie Algebras of Growth One
Journal of Lie Theory, Tome 15 (2005) no. 2, pp. 505-520

Voir la notice de l'article provenant de la source Heldermann Verlag

Zbl   EuDML

We will give the structure of $\mathbb Z$-graded prime nondegenerate algebras $L = \sum_{i\in\mathbb Z} L_i$ containing the Virasoro algebra and having the dimensions of the homogeneous components, $\dim L_i$, uniformely bounded.
Classification : 17B60, 17B70, 17C50
Mots-clés : Z-graded Lie algebra, strongly PI, prime, nondegenerate, Virasoro algebra, loop algebra, growth, Jordan pair 
C. Martínez. On Prime Z-graded Lie Algebras of Growth One. Journal of Lie Theory, Tome 15 (2005) no. 2, pp. 505-520. http://geodesic.mathdoc.fr/item/JOLT_2005_15_2_a8/
@article{JOLT_2005_15_2_a8,
     author = {C. Mart{\'\i}nez},
     title = {On {Prime} {Z-graded} {Lie} {Algebras} of {Growth} {One}},
     journal = {Journal of Lie Theory},
     pages = {505--520},
     year = {2005},
     volume = {15},
     number = {2},
     zbl = {1068.17008},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2005_15_2_a8/}
}
TY  - JOUR
AU  - C. Martínez
TI  - On Prime Z-graded Lie Algebras of Growth One
JO  - Journal of Lie Theory
PY  - 2005
SP  - 505
EP  - 520
VL  - 15
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JOLT_2005_15_2_a8/
ID  - JOLT_2005_15_2_a8
ER  - 
%0 Journal Article
%A C. Martínez
%T On Prime Z-graded Lie Algebras of Growth One
%J Journal of Lie Theory
%D 2005
%P 505-520
%V 15
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2005_15_2_a8/
%F JOLT_2005_15_2_a8