English

Gr\"obner-Shirshov bases for associative conformal modules

Rings and Algebras 2017-08-16 v1

Abstract

We construct free modules over an associative conformal algebra. We establish Composition-Diamond lemma for associative conformal modules. As applications, Gr\"obner-Shirshov bases of the Virasoro conformal module and module over the semidirect product of Virasoro conformal algebra and current algebra are given respectively.

Keywords

Cite

@article{arxiv.1708.04580,
  title  = {Gr\"obner-Shirshov bases for associative conformal modules},
  author = {Yuqun Chen and Lili Ni},
  journal= {arXiv preprint arXiv:1708.04580},
  year   = {2017}
}

Comments

33 pages

R2 v1 2026-06-22T21:15:19.829Z