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Remarks on simple
extended Lie algebras
Arthur Argyle Sagle |
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Vol. 15 (1965), No. 2, 613–620
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Abstract |
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We continue the discussion of finite dimensional simple extended Lie algebras over an algebraically closed field F of characteristic zero with nondegenerate form (x,y) = trace RxRy where Rx (or R(x)) denotes the mapping A → A : a → ax; for brevity we call such an algebra a simple el-algebra. The main result of this paper is that those simple el-algebras which are not Lie or Malcev algebras probably cannot be analyzed by the usual desirable Lie-type methods. |
Mathematical Subject Classification
Primary: 17.30
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Milestones
Received: 7 November 1963
Published: 1 June 1965
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Authors |
| Arthur Argyle Sagle | |
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