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Generalized derivations of current Lie algebras
Dominik Benkovič, Daniel Eremita, 2024, original scientific article

Abstract: Let $L$ be a Lie algebra and let $A$ be an associative commutative algebra with unity, both over the same field $F$. We consider the following question. Is every generalized derivation (resp. quasiderivation) of $L \otimes A$ the sum of a derivation and a map from the centroid of $L \otimes A$, if the same holds true for $L$?
Keywords: current Lie algebras, derivation, generalized derivation, Lie algebras, quasiderivation, tensor product of algebras
Published in DiRROS: 31.03.2025; Views: 301; Downloads: 202
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