Generalized Harish-Chandra Modules

Ivan Penkov; Crystal Hoyt

doi:10.1007/978-3-030-89660-7_9

Generalized Harish-Chandra Modules

Ivan Penkov
, Crystal Hoyt

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

Abstract

In this chapter we study a class of g -modules that generalize weight modules with finite-dimensional weight spaces by replacing the Cartan subalgebra h with an arbitrary subalgebra f. We call these modules generalized Harish-Chandra modules.

Original language	English
Title of host publication	Springer Monographs in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	159-184
Number of pages	26
DOIs	https://doi.org/10.1007/978-3-030-89660-7_9
State	Published - 2022
Externally published	Yes

Publication series

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

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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_9

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Generalized Harish-Chandra Modules

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