English

Weakly associative and symmetric Leibniz algebras

Rings and Algebras 2020-08-04 v1

Abstract

We study a special class of weakly associative algebras: the symmetric Leibniz algebras. We describe the structure of the commutative and skew symmetric algebras associated with the polarization-depolarization principle. We also give a structure theorem for the symmetric Leibniz algebras and we study formal deformations in the context of deformation quantization.

Keywords

Cite

@article{arxiv.2008.00560,
  title  = {Weakly associative and symmetric Leibniz algebras},
  author = {Elisabeth Remm},
  journal= {arXiv preprint arXiv:2008.00560},
  year   = {2020}
}

Comments

14 pages