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· 2016· Preprint

0 HOM-LIE ALGEBRAS WITH SYMMETRIC INVARIANT NONDEGENERATE BILINEAR FORMS

Abdenacer Makhlouf

Short summary

This paper introduces and studies quadratic Hom–Lie algebras, defined as Hom–Lie algebras with symmetric invariant nondegenerate bilinear forms, and extends the Double Extension Theory to these algebras.

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics