Finite Dimensional Simple Modules over Some GIM Lie Algebras

GIM Lie algebras are the generalizations of Kac-Moody Lie algebras. However, the structures of GIM Lie algebras are more complex than the latter, so they have encountered many new difficulties to study their representation theory. In this paper, we classify all finite dimensional simple modules over the GIM Lie algebra Q(n+1) (2, 1) as well as those over Theta(2n+1).

Automated summary

This paper classifies all finite dimensional simple modules over the GIM Lie algebra Q(n+1) (2, 1) and Theta(2n+1), which are more complex in structure and have posed new difficulties in studying their representation theory.