Weight Modules

Ivan Penkov; Crystal Hoyt

doi:10.1007/978-3-030-89660-7_8

Weight Modules

Ivan Penkov, Crystal Hoyt

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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.

Original language	English
Title of host publication	Springer Monographs in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	125-158
Number of pages	34
DOIs	https://doi.org/10.1007/978-3-030-89660-7_8
State	Published - 2022
Externally published	Yes

Publication series

Name	Springer 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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10.1007/978-3-030-89660-7_8

Cite this

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Weight Modules

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