Integrable Representations for Extended Affine Lie Algebras Coordinated by Quantum Tori

Key Points

• The research aims to realize all irreducible integrable modules for extended affine Lie algebras of type A using quantum tori.
• Examined irreducible integrable modules for the core of the algebras.
• Analyzed the action of center elements on these modules.
• Investigated sufficient and necessary conditions for unitarity.
• All irreducible integrable modules were effectively realized.
• Conditions necessary for modules to be unitary were clearly outlined.