The leibniz-algebras tag has no wiki summary.

**5**

votes

**0**answers

85 views

### Which known theorems of Lie algebras are still valid for Leibniz algebras?

Leibniz algebras can be seen as a non-commutative generalization of Lie algebras. Thus, it is common to see a lot of papers which topic is about a generalization of a classic theorem of Lie algebras ...

**2**

votes

**1**answer

836 views

### Automorphism theorem

Help me please to find reference for the proof of the following theorem:
Theorem. Let $\theta$ be a Leibniz cocycle on the Leibniz algebra L with values in $V,$ and assume $\theta^{\bot}\cap ...

**0**

votes

**2**answers

252 views

### classification of Nilpotent Leibniz Algebra

I am interested about the last results belong to the classification of the low dimensional Leibniz algebra. Does anybody can help me?

**8**

votes

**3**answers

889 views

### Hopf algebra structure on the universal enveloping algebra of a Leibniz algebra?

A Leibniz algebra L may be thought of as a noncommutative generalisation of a Lie algebra. One drops the requirement that the bracket be alternating and substitutes the Jacobi identity for the ...