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Concerning derivations of lie algebras
Authors:Ernest L. Stitzinger   Rudolph M. Turner
Affiliation: a Department of Mathematics, North Carolina state Univrsity, Raleigh
Abstract:
Schur showed that if the center of a group has finite index, then the commutator subgroup is finite. By replacing inner automorphisms by automorphisms, Hegarty obtained a variation of Schur's result. The Lie algebra analogue of Schur's result is well-known. We obtain a strong Lie algebra version of Hegarty's result.
Keywords:Derivation algebra  finiteness conditions  AMS Subject Classification 17B40
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