On the derived algebra of a centraliser
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Oksana Yakimova
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Article
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2010
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Elsevier Science
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French
โ 145 KB
Let g be a classical Lie algebra, e โ g a nilpotent element and g e โ g the centraliser of e. We prove that g e = [g e , g e ] if and only if e is rigid. It is also shown that if e โ [g e , g e ], then the nilpotent radical of g e coincides with [g(1) e , g e ], where g(1) e โ g e is an eigenspace o