JournalsprimsVol. 62, No. 2pp. 397–414

Involutive Root-Graded Lie Algebras and Lie Tori of Type

  • Saeid Azam

    University of Isfahan, Iran; Institute for Research in Fundamental Sciences (IPM), Tehran, Iran

  • Mehdi Izadi Farhadi

    Institute for Research in Fundamental Sciences (IPM), Tehran, Iran; University of Isfahan, Iran
Involutive Root-Graded Lie Algebras and Lie Tori of Type $A$ cover
Download PDF

This article is published open access under our Subscribe to Open model.

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 () admitting a Chevalley involution. This work extends and completes the earlier results regarding the existence of such involutions for Lie tori of reduced types.

Cite this article

Saeid Azam, Mehdi Izadi Farhadi, Involutive Root-Graded Lie Algebras and Lie Tori of Type . Publ. Res. Inst. Math. Sci. 62 (2026), no. 2, pp. 397–414

DOI 10.4171/PRIMS/62-2-4