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| The Engel's theorem for braided lie algebras | |
| 基金项目： | Supported by NSF of Henan Province (994 0 5 1 80 0 ) |
| 摘 要： | Throughoutthis paper,let H be a Hopf algebra.Aboutthe propertiesand conceptionsof braided Lie alge-bras,we refer to1 ].Definition1 Let Abe a finite- dimensional algebra( not necessarily associative) in HHYD.By a braidedderivation of A we mean a HHYD- morphismδ:A→ A satisfying the following rule:δ( ab) =δ( a) b+ (δ(-1 ) .a)δ0 ( b) . ( 1 ) Denote by Der H A the setof all braided derivations of A .Now,let L be a braided Lie algebra.Ifx∈ L ,then y|→ x,y]is an endomorphism … |
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