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

Published 23 Aug 2025 in math.QA | (2508.16954v1)

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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