Lie algebras with generalized associative structures and cubic operads

Mathematics – Rings and Algebras

Scientific paper

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14 pages

Scientific paper

We investigate Lie algebras whose Lie bracket is also associative or cubic
associative. This allows the characterisation of a class of nilpotent Lie
algebras with a given nilindex. We generalise the notion of associativity
considering $f$-associativity, notion closed to the notion of
Hom-($f$)-associativity.

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