Differential envelopes of Novikov conformal algebras

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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Publication Details

Journal
International Journal of Algebra and Computation
Published
2025-06-12
DOI
https://doi.org/10.1142/s0218196725500262
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Differential envelopes of Novikov conformal algebras

A. A. Nesterenko, P. S. Kolesnikov
International Journal of Algebra and Computation
Algebraic structures and combinatorial models
article

Differential envelopes of Novikov conformal algebras

A. A. Nesterenko, P. S. Kolesnikov
article en

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.

International Journal of Algebra and ComputationVol. 35(06)
Novosibirsk State University (RU), Sobolev Institute of Mathematics (RU)
Russian Science Foundation
Openalex Percentile: Top 81%
Algebraic structures and combinatorial models
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