Splitting Borel Subalgebras of s i (∞) and o(∞), sp(∞) Generalized Flags

Ivan Penkov; Crystal Hoyt

doi:10.1007/978-3-030-89660-7_5

Splitting Borel Subalgebras of s i (∞) and o(∞), sp(∞) Generalized Flags

Ivan Penkov, Crystal Hoyt

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

Abstract

Borel subalgebras play a prominent role in the representation theory of finite-dimensional Lie algebras and superalgebras, as well as of Kac–Moody algebras, since Borel subalgebras are responsible for the very existence of highest weight modules. In this chapter we introduce the special class of splitting Borel subalgebras, and show that their stabilizers are generalized flags.

Original language	English
Title of host publication	Springer Monographs in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	55-68
Number of pages	14
DOIs	https://doi.org/10.1007/978-3-030-89660-7_5
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_5

Cite this

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Splitting Borel Subalgebras of s i (∞) and o(∞), sp(∞) Generalized Flags

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