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arxiv: 1005.4617 · v2 · pith:LFJB3A57new · submitted 2010-05-25 · 🧮 math.DG

Some generalizations of the notion of Lie algebra

classification 🧮 math.DG
keywords algebroidsleftnotionomni-lodayrightalgebraalgebrasalgebroid
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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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