3 papers
math.QA2025
Involutive root-graded Lie algebras and Lie tori of type
Saeid Azam, Mehdi Izadi Farhadi
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 L…
math.QA2023
Chevalley involutions for Lie tori and extended affine Lie algebras
Saeid Azam, Mehdi Farhadi Izadi
In finite-dimensional simple Lie algebras and affine Kac-Moody Lie algebras, Chevalley involutions are crucial ingredients of the modular theory. Towards establishing the modular t…
math.QA2021
Integral structures in extended affine Lie algebras
Saeid Azam, Amir Farahmand Parsa, Mehdi Izadi Farhadi
We construct certain integral structures for the cores of reduced tame extended affine Lie algebras of rank at least 2. One of the main tools to achieve this is a generalization of…