Lie derivations of dual extensions of algebras

• Autorzy: Yanbo Li , Feng Wei
• Języki publikacji: EN

Abstrakty

EN

Let K be a field and Γ a finite quiver without oriented cycles. Let Λ := K(Γ,ρ) be the quotient algebra of the path algebra KΓ by the ideal generated by ρ, and let 𝒟(Λ) be the dual extension of Λ. We prove that each Lie derivation of 𝒟(Λ) is of the standard form.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16W25: Derivations, actions of Lie algebras
• 15A78: Other algebras built from modules

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 141
• Numer: 1
• Strony: 65-82

Daty

wydano

2015

Twórcy

autor

Yanbo Li

• School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, 066004, P.R. China

autor

Feng Wei

• School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, P.R. China

Identyfikatory

DOI

10.4064/cm141-1-7