On Embedding of Lie Conformal Algebras into Associative Conformal Algebras
Journal of Lie theory, Tome 15 (2005) no. 2, pp. 575-588.

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

We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is nilpotent, then so is A, and the nilpotency index remains the same. We also give a list of open questions concerning the embedding of Lie conformal algebras into associative conformal.
Classification : 17B69, 17B30, 17B35
Mots-clés : Conformal Lie algebra, enveloping algebras, Ado theorem
@article{JLT_2005_15_2_JLT_2005_15_2_a11,
     author = {M. Roitman },
     title = {On {Embedding} of {Lie} {Conformal} {Algebras} into {Associative} {Conformal} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {575--588},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2005},
     url = {http://geodesic.mathdoc.fr/item/JLT_2005_15_2_JLT_2005_15_2_a11/}
}
TY  - JOUR
AU  - M. Roitman 
TI  - On Embedding of Lie Conformal Algebras into Associative Conformal Algebras
JO  - Journal of Lie theory
PY  - 2005
SP  - 575
EP  - 588
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JLT_2005_15_2_JLT_2005_15_2_a11/
ID  - JLT_2005_15_2_JLT_2005_15_2_a11
ER  - 
%0 Journal Article
%A M. Roitman 
%T On Embedding of Lie Conformal Algebras into Associative Conformal Algebras
%J Journal of Lie theory
%D 2005
%P 575-588
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JLT_2005_15_2_JLT_2005_15_2_a11/
%F JLT_2005_15_2_JLT_2005_15_2_a11
M. Roitman . On Embedding of Lie Conformal Algebras into Associative Conformal Algebras. Journal of Lie theory, Tome 15 (2005) no. 2, pp. 575-588. http://geodesic.mathdoc.fr/item/JLT_2005_15_2_JLT_2005_15_2_a11/