Some generalizations of the notion of Lie algebra

Details Some generalizations of the notion of Lie algebra Some generalizations of the notion of Lie algebra

2010-05-25

arxiv.org/abs/1005.4617v2

Journal of Generalized Lie Theory and Applications Vol. 5 (2011), Article ID G100801

Mathematics

Differential Geometry

Second version. 14 pages. Included some comments about previous works related to Leibniz algebras, and updated bibliography. A

Scientific paper

10.4303/jglta/G100801

We introduce the notion of left (and right) quasi-Loday algebroids and a
"universal space" for them, called a left (right) omni-Loday algebroid, in such
a way that Lie algebroids, omni-Lie algebras and omni-Loday algebroids are
particular substructures.

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