Classification of irreducible integrable modules for extended affine Lie algebras with center acting trivially

2021/05/05 by Tantubay, Santanu, Batra, Punita
#17B66 #17B67 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2105.02000

Abstract

We classify the irreducible integrable modules for the twisted toroidal extended affine Lie algebras with fnite diemnsional weight spaces where the fnite dimensional center acts trivially. We have proved that the entire central extension part acts trivially on the modules and our modules turn out to be highest weight modules.

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