English

Conformal Lie 2-algebras and conformal omni-Lie algebras

Rings and Algebras 2023-09-19 v3 Mathematical Physics math.MP Quantum Algebra

Abstract

The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced and studied. It is proved that the category of conformal Lie 2-algebras and the category of 2-term conformal LL_{\infty}-algebras are equivalent. We construct conformal Lie 2-algebras from conformal omni-Lie algebras and Leibniz conformal algebras.

Keywords

Cite

@article{arxiv.2301.06903,
  title  = {Conformal Lie 2-algebras and conformal omni-Lie algebras},
  author = {Tao Zhang},
  journal= {arXiv preprint arXiv:2301.06903},
  year   = {2023}
}

Comments

19 pages, no figures, typos and English are corrected, continue of arXiv:1301.2839 and arXiv:1305.0891