$\xi$-Groups and Hu-Liu Leibniz Algebras

Keqin Liu

$\xi$-Groups and Hu-Liu Leibniz Algebras

Rings and Algebras 2007-05-23 v2

Authors: Keqin Liu

Abstract

We initiate the study of $\xi$ -groups and Hu-Liu Leibniz algebras, claim that alomost all simple Leibniz algebras and simple Hu-Liu Leibniz algebras are linear, and establish two passages. One is the passage from a special $\mathcal{Z}_2$ -graded associative algebra to a Hu-Liu Leibniz algebra. The other one is the passage from a linear $\xi$ -group to its tangent space which is a Hu-Liu Leibniz algebra.

Keywords

xi-groups hu-liu leibniz algebras leibniz algebras graded associative algebra tangent space

Cite

@article{arxiv.math/0512577,
  title  = {$\xi$-Groups and Hu-Liu Leibniz Algebras},
  author = {Keqin Liu},
  journal= {arXiv preprint arXiv:math/0512577},
  year   = {2007}
}

Comments

7 pages

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