Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669383 | Bulletin des Sciences Mathématiques | 2010 | 9 Pages |
Abstract
Let g be a classical Lie algebra, e∈g a nilpotent element and ge⊂g the centraliser of e. We prove that ge=[ge,ge] if and only if e is rigid. It is also shown that if e∈[ge,ge], then the nilpotent radical of ge coincides with [g(1)e,ge], where g(1)e⊂ge is an eigenspace of a characteristic of e corresponding to the eigenvalue 1.
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