On the Simplicity of the Lie Algebra of a Leavitt Path Algebra

Adel Alahmedi; Hamed Alsulami

doi:10.1080/00927872.2015.1130132

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On the Simplicity of the Lie Algebra of a Leavitt Path Algebra

Journal article

Peer reviewed

On the Simplicity of the Lie Algebra of a Leavitt Path Algebra

Adel Alahmedi and Hamed Alsulami

Communications in algebra, Vol.44(9), pp.4114-4120

01/09/2016

DOI: https://doi.org/10.1080/00927872.2015.1130132

Abstract

Cuntz-Krieger C-algebras

Leavitt path algebra

Lie algebra

For a field F and a row-finite directed graph Γ, let L(Γ) be the associated Leavitt path algebra. We find necessary and sufficient conditions for the Lie algebra [L(Γ), L(Γ)] to be simple.

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Title: On the Simplicity of the Lie Algebra of a Leavitt Path Algebra
Creators - without role: Adel Alahmedi - King Abdulaziz University
Hamed Alsulami - King Abdulaziz University
Publication Details: Communications in algebra, Vol.44(9), pp.4114-4120
Publisher: Taylor & Francis
Grant note: This paper was funded by King Abdulaziz University, under grant No. (7-130/1433 HiCi). The authors, therefore, acknowledge technical and financial support of KAU.
Identifiers: 9937992208331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article