Differential envelopes of Novikov conformal algebras
Rings and Algebras
2024-09-17 v1
Abstract
A Novikov conformal algebra is a conformal algebra such that its coefficient algebra is right-symmetric and left commutative (i.e., it is an ``ordinary'' Novikov algebra). We prove that every Novikov conformal algebra with a uniformly bounded locality function on a set of generators can be embedded into a commutative conformal algebra with a derivation. In particular, every finitely generated Novikov conformal algebra has a commutative conformal differential envelope. For infinitely generated algebras this statement is not true in general.
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Cite
@article{arxiv.2409.10029,
title = {Differential envelopes of Novikov conformal algebras},
author = {P. S. Kolesnikov and A. A. Nesterenko},
journal= {arXiv preprint arXiv:2409.10029},
year = {2024}
}
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13 pages