Lie derivations of dual extensions of algebras

Yanbo Li; Feng Wei

doi:10.4064/cm141-1-7

Lie derivations of dual extensions of algebras

Yanbo Li
, Feng Wei

School of Mathematics and Statistics

Northeastern University China

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	65-82
Number of pages	18
Journal	Colloquium Mathematicum
Volume	141
Issue number	1
DOIs	https://doi.org/10.4064/cm141-1-7
Publication status	Published - 20 Jul 2015

Keywords

Dual extension
Generalized matrix algebra
Lie derivation

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10.4064/cm141-1-7

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N2 - Let K be a field and Г a finite quiver without oriented cycles. Let Λ := K(Г; ρ) be the quotient algebra of the path algebra K Г by the ideal generated by r, and let D(Λ) be the dual extension of Λ. We prove that each Lie derivation of D(Λ) is of the standard form.

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

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KW - Generalized matrix algebra

KW - Lie derivation

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Lie derivations of dual extensions of algebras

Abstract

Keywords

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