paper

Structure of parabolically induced modules for affine Kac-Moody algebras

arXiv:1610.07082 · doi:10.1016/j.jalgebra.2017.03.007

Abstract

The main result of the paper establishes the irreducibility of a large family of nonzero central charge induced modules over Affine Lie algebras for any non standard parabolic subalgebra. It generalizes all previously known partial results and provides a a construction of many new irreducible modules.

appear in J.Algebra

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