Weight Modules

Ivan Penkov, Crystal Hoyt

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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.

Original languageEnglish
Title of host publicationSpringer Monographs in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages34
StatePublished - 2022
Externally publishedYes

Publication series

NameSpringer Monographs in Mathematics
ISSN (Print)1439-7382
ISSN (Electronic)2196-9922

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.


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