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Abstract
This paper explores the quasi-deformation scheme devised in [1, 3] as applied to the simple Lie algebra 
for specific choices of the involved parameters and underlying algebras. One of the main points of this method is that the quasi-deformed algebra comes endowed with a canonical twisted Jacobi identity. We show in the present article that when the quasi-deformation method is applied to one obtains multiparameter families of almost quadratic algebras, and by choosing parameters suitably, sl2(F) is quasi-deformed into three-dimensional and four-dimensional Lie algebras and algebras closely resembling Lie superalgebras and colour Lie algebras, this being in stark contrast to the classical deformation schemes where is rigid.
AMS MSC 2000: Primary: 16S37 Secondary: 17B37; 17B40; 16A05; 16W55; 16S80