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Non associative algebras, operads, deformations of algebras on non Koszul operads, case of 3-ary algebras,Geometrical structures associated with Lie algebras such as affine structures, complexes structures (on real Lie algebras), contact structures, symplectic structures on Lie algebras. Gamma-symmetric Lie algebras, gradings on nilpotent Lie algebras, n-ary algebras.
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