General Cartan, Borel and Parabolic Subalgebras of gl(∞) and sl(∞)

Ivan Penkov, Crystal Hoyt

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


In the first part of this chapter, we generalize the theory of Cartan subalgebras from s i (n) to s i (∞) and g i (∞). In the second part, we discuss the non-splitting Borel and parabolic subalgebras of s i (∞) and g i (∞).

Original languageEnglish
Title of host publicationSpringer Monographs in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages17
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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