Involutive root-graded Lie algebras and Lie tori of type $A$

Saeid Azam; Mehdi Izadi Farhadi

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arXiv · 2508.16954

Involutive root-graded Lie algebras and Lie tori of type $A$

Saeid Azam·Mehdi Izadi Farhadi

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Abstract

We investigate the concept of a ``Chevalley involution'' within the framework of root-graded Lie algebras with compatible grading. We provide a characterization of all centerless Lie tori of type $A_\ell(\ell\geq2)$ admitting a Chevalley involution. This work extends and completes the earlier results regarding the existence of such involutions for Lie tori of reduced types.

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Saeid Azam, Mehdi Izadi Farhadi. 2025-08-23. Involutive root-graded Lie algebras and Lie tori of type $A$. https://arxiv.org/abs/2508.16954

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