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Saturday, April 18, 2015 - 11:30 to 12:30
LH 301
Dr. Sachin S. Sharma
TIFR, Mumbai
Integrable modules for Lie tori

Centerless Lie tori play an important role in explicitly constructing the extended affine Lie algebras; they play similar role as derived algebras modulo center play in the realization of affine Kac-Moody algebras. In this talk we consider the universal central extension of a centerless Lie torus and classify its irreducible integrable modules when the center acts non-trivially. They turn out to be highest weight modules for the direct sum of finitely many affine Lie algebras upto an automorphism.

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