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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