Finite Dimensional Modules over Indefinite Kac–Moody Lie Algebras

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发表日期：

2024年1月5日

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Limeng Xia,
Hongmei Hu,
Yilan Tan

摘要

In this paper, we study the finite dimensional modules over indefinite Kac–Moody Lie algebras. We prove that any Kac–Moody Lie algebra with indecomposable indefinite Cartan matrix has no non-trivial finite dimensional simple module. This result would be indispensable for researching finite dimensional modules over GIM Lie algebras.