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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2023; 60(4): 835-858

Online first article June 13, 2023      Printed July 1, 2023

https://doi.org/10.4134/JKMS.j220384

Copyright © The Korean Mathematical Society.

Classification of solvable lie algebras whose non-trivial coadjoint orbits of simply connected lie groups are all of codimension 2

Hieu Van Ha, Vu Anh Le, Tu Thi Cam Nguyen, Hoa Duong Quang

Vietnam National University; Vietnam National University; Ho Chi Minh City, Vietnam; Hoa Sen University

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We give a classification of real solvable Lie algebras whose non-trivial coadjoint orbits of corresponding to simply connected Lie groups are all of codimension 2. These Lie algebras belong to a well-known class, called the class of MD-algebras.

Keywords: Solvable, Lie groups, classification of Lie algebras, MD-algebras

MSC numbers: 17B08, 17B30

Supported by: This research is funded by Vietnam National University Ho Chi Minh City (VNU-HCM) under grant number B2023-34-01.

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