English

Special and exceptional mock-Lie algebras

Rings and Algebras 2018-05-02 v3

Abstract

We observe several facts and make conjectures about commutative algebras satisfying the Jacobi identity. The central question is which of those algebras admit a faithful representation (i.e., in Lie parlance, satisfy the Ado theorem, or, in Jordan parlance, are special).

Keywords

Cite

@article{arxiv.1608.05861,
  title  = {Special and exceptional mock-Lie algebras},
  author = {Pasha Zusmanovich},
  journal= {arXiv preprint arXiv:1608.05861},
  year   = {2018}
}

Comments

v3: minor corrections

R2 v1 2026-06-22T15:25:17.294Z