Title of article :
Derivation algebras of centerless perfect Lie algebras are complete
Author/Authors :
Yucai Su، نويسنده , , Linsheng Zhu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
8
From page :
508
To page :
515
Abstract :
It is proved that the derivation algebra of a centerless perfect Lie algebra of arbitrary dimension over any field of arbitrary characteristic is complete and that the holomorph of a centerless perfect Lie algebra is complete if and only if its outer derivation algebra is centerless.
Keywords :
Complete Lie algebra , derivation , Holomorph of Lie algebra
Journal title :
Journal of Algebra
Serial Year :
2005
Journal title :
Journal of Algebra
Record number :
697073
Link To Document :
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