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A note on Lie and Jordan structures of Leavitt path algebras | Synapse

February 12, 2026

A note on Lie and Jordan structures of Leavitt path algebras

Key Points

The research aims to analyze the structures of Lie and Jordan algebras from Leavitt path algebras.
Examined the properties of Leavitt path algebras over a field.
Analyzed the arising Lie and Jordan algebras.
Utilized the standard involution to assess solvability.
Determined conditions under which the Lie algebra is solvable.
Assessed solvability criteria for the Jordan algebra.

Abstract

Let Formula: see text be the Leavitt path algebra of a directed graph Formula: see text over a field Formula: see text. In this paper, we determine Formula: see text and Formula: see text for the Lie algebra Formula: see text and the Jordan algebra Formula: see text arising from Formula: see text with respect to the standard involution to be solvable.

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Cite This Study

Khanh et al. (Wed,) studied this question.

synapsesocial.com/papers/698d6edc5be6419ac0d54bb9 https://doi.org/https://doi.org/10.1142/s0219498827501568

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