On Embedding of Lie Conformal Algebras into Associative Conformal Algebras
Journal of Lie theory, Tome 15 (2005) no. 2, pp. 575-588
Cet article a éte moissonné depuis 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
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},
year = {2005},
volume = {15},
number = {2},
url = {http://geodesic.mathdoc.fr/item/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/