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

Ivan Penkov; Crystal Hoyt

doi:10.1007/978-3-030-89660-7_6

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

Ivan Penkov, Crystal Hoyt

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

Abstract

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 language	English
Title of host publication	Springer Monographs in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	69-85
Number of pages	17
DOIs	https://doi.org/10.1007/978-3-030-89660-7_6
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_6

Cite this

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

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