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.
Authors
- A. A. Nesterenko
- P. S. Kolesnikov (ORCID: https://orcid.org/0000-0002-7534-1534)
Institutions
- Novosibirsk State University (RU)
- Sobolev Institute of Mathematics (RU)
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
Funders
- Russian Science Foundation