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A talented monoid view on Lie bracket algebras over Leavitt path algebras

    https://doi.org/10.1142/S0219498823501700Cited by:1 (Source: Crossref)

    In this paper, we study properties such as simplicity, solvability and nilpotency for Lie bracket algebras arising from Leavitt path algebras, based on the talented monoid of the underlying graph. We show that graded simplicity and simplicity of the Leavitt path algebra can be connected via the Lie bracket algebra. Moreover, we use the Gelfand–Kirillov dimension for the Leavitt path algebra for a classification of nilpotency and solvability.

    Communicated by P. Ara

    AMSC: 16S88, 17B66

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