A note on Lie and Jordan structures of Leavitt path algebras

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Authors: Huynh Viet Khanh, Le Qui Danh
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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.

Fields of Study & Subjects

Advanced Topics in Algebra Rings Modules and Algebras Advanced Operator Algebra Research

Publication details

Journal / source
Journal of Algebra and Its Applications
Publication date
11 February 2026
Language
EN