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Hom-Lie Algebras with Symmetric Invariant NonDegenerate Bilinear Forms
Hom-Lie algebra representation quadratic form quadratic Hom-Lie algebra
2010/12/9
The aim of this paper is to introduce and study quadratic Hom-Lie algebras, which are Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms. We provide several onstructions
leading t...
Irregular locus of the commuting variety of reductive symmetric Lie algebras and rigid pairs
Irregular locus of the commuting variety reductive symmetric Lie algebras and rigid pairs
2010/11/29
The aim of this paper is to describe the irregular locus of the commuting variety of a reductive symmetric Lie algebra. More precisely, we want to enlighten a remark of Popov. In [Po], the irregular l...