Abstract
The theory of weight modules over reductive Lie algebras is a well-established branch of representation theory. For root-reductive Lie algebras, the theory of weight modules is less developed but is currently coming into shape and will certainly be developed further in the coming years. In this chapter, we give an introduction to weight modules of finite-dimensional Lie algebras, and then we present some basic results on weights modules of root-reductive Lie algebras.
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Penkov, I., Hoyt, C. (2022). Weight Modules. In: Classical Lie Algebras at Infinity. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-89660-7_8
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