5 papers
Localization and filtration in extended affine Lie algebras
Saeid Azam
We investigate the notions of \emph{localization} and \emph{filtration} in the context of extended affine Lie algebras. Our primary objective is to develop a localization theory th…
Chevalley bases for extended affine Lie algebras
Saeid Azam
Claude Chevalley provided a basis for a {finite dimensional} simple complex Lie algebra called the Chevalley basis. This basis has the distinguishing property that all the structur…
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…
Chevalley bases for elliptic extended affine Lie algebras of type
Saeid Azam
We investigate Chevalley bases for extended affine Lie algebras of type .The concept of integral structures for extended affine Lie algebras of rank greater than one has been…
Characters for extended affine Lie algebras; a combinatorial approach
Saeid Azam
The behavior of objects associated with general extended affine Lie algebras is typically distinct from their counterparts in affine Lie algebras. Our research focuses on studying…