Integrable modules for Lie tori

• Autores: S. Eswara Rao, Sachin S. Sharma
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 3 (March 2016), 2016, págs. 1074-1095
• Idioma: inglés
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• Resumen

  • In this paper we consider the universal central extension of a centerless Lie torus satisfying fgc condition and classify its irreducible integrable modules when the center acts non-trivially. These algebras (Lie tori) are naturally Zn-graded and we develop a one to one correspondence between their graded and non-graded modules. At the non-graded level their irreducible integrable modules turn out to be highest weight modules for the direct sum of finitely many affine Lie algebras upto an automorphism.