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Lie derivations of dual extensions of algebras

Volume 141 / 2015

Yanbo Li, Feng Wei Colloquium Mathematicum 141 (2015), 65-82 MSC: 16W25, 16G20, 15A78. DOI: 10.4064/cm141-1-7


Let $K$ be a field and $\varGamma $ a finite quiver without oriented cycles. Let $\varLambda :=K(\varGamma , \rho )$ be the quotient algebra of the path algebra $K\varGamma $ by the ideal generated by $\rho $, and let $\mathscr {D}(\varLambda )$ be the dual extension of $\varLambda $. We prove that each Lie derivation of $\mathscr {D}(\varLambda )$ is of the standard form.


  • Yanbo LiSchool of Mathematics and Statistics
    Northeastern University at Qinhuangdao
    Qinhuangdao, 066004, P.R. China
  • Feng WeiSchool of Mathematics and Statistics
    Beijing Institute of Technology
    Beijing, 100081, P.R. China

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