Journal of Lie Theory

no. 2
On Embedding of Lie Conformal Algebras into Associative Conformal Algebras
Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 575-588
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.
DOI: 10.5802/jolt.391
Classification: 17B69, 17B30, 17B35
Keywords: Conformal Lie algebra, enveloping algebras, Ado theorem 
@article{JOLT_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},
     doi = {10.5802/jolt.391},
     zbl = {1133.17015},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.391/}
}
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%J Journal of Lie Theory
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M. Roitman. On Embedding of Lie Conformal Algebras into Associative Conformal Algebras. Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 575-588. doi: 10.5802/jolt.391

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