TY - JOUR

T1 - Differential envelopes of Novikov conformal algebras

AU - Kolesnikov, P. S.

AU - Nesterenko, A. A.

PY - 2025

Y1 - 2025

N2 - 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.

AB - 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.

KW - embedding

KW - derivation

KW - conformal algebra

KW - Novikov algebra

UR - https://www.mendeley.com/catalogue/0b67dfa5-e7ae-395a-8505-cb9c1c51958d/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105009479491&origin=inward

U2 - 10.1142/s0218196725500262

DO - 10.1142/s0218196725500262

M3 - Article

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

ER -