Finite Dimensional Simple Modules over Some GIM Lie Algebras

Limeng Xia and Dong Liu
Additional contact information
Limeng Xia: Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, China
Dong Liu: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

Mathematics, 2022, vol. 10, issue 15, 1-10

Abstract: GIM Lie algebras are the generalizations of Kac–Moody Lie algebras. However, the structures of GIM Lie algebras are more complex than the latter, so they have encountered many new difficulties to study their representation theory. In this paper, we classify all finite dimensional simple modules over the GIM Lie algebra Q n + 1 ( 2 , 1 ) as well as those over Θ 2 n + 1 .

Keywords: GIM Lie algebra; finite dimensional module; simple module (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/15/2658/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/15/2658/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:15:p:2658-:d:874448

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().