$ξ$-Groups and Hu-Liu Leibniz Algebras

Details $ξ$-Groups and Hu-Liu Leibniz Algebras $ξ$-Groups and Hu-Liu Leibniz Algebras

2005-12-26

arxiv.org/abs/math/0512577v2

Mathematics

Rings and Algebras

7 pages

Scientific paper

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.

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