Irreducible Modules for Extended Affine Lie Algebras
Yuly Billig, Michael Lau
TL;DR
This paper develops a method to construct irreducible modules for extended affine Lie algebras by integrating representation theory of untwisted toroidal algebras with thin coverings, exemplified through Clifford type cases.
Contribution
It introduces a novel approach combining existing theories to build irreducible modules for extended affine Lie algebras, expanding the understanding of their representation structure.
Findings
Constructed irreducible modules for twisted toroidal and extended affine Lie algebras.
Demonstrated the method with examples of Clifford type extended affine Lie algebras.
Provided a new technique for module construction in the context of complex Lie algebra structures.
Abstract
We construct irreducible modules for twisted toroidal Lie algebras and extended affine Lie algebras. This is done by combining the representation theory of untwisted toroidal algebras with the technique of thin coverings of modules. We illustrate our method with examples of extended affine Lie algebras of Clifford type.
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