Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CLASSIFICATION OF SOLVABLE LIE ALGEBRAS WHOSE NON-TRIVIAL COADJOINT ORBITS OF SIMPLY CONNECTED LIE GROUPS ARE ALL OF CODIMENSION 2

  • Hieu Van Ha (University of Economics and Law and Vietnam National University ) ;
  • Vu Anh Le (University of Economics and Law and Vietnam National University ) ;
  • Tu Thi Cam Nguyen (University of Science Ho Chi Minh City, Vietnam Can Tho University) ;
  • Hoa Duong Quang (Faculty of Information Technology Hoa Sen University)
  • Received : 2022.07.29
  • Accepted : 2023.04.03
  • Published : 2023.07.01
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Abstract

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

Acknowledgement

This research is funded by Vietnam National University Ho Chi Minh City (VNU-HCM) under grant number B2023-34-01. A part of this paper was done during the visit of Hieu V. Ha and Vu A. Le to Vietnam Institute for Advanced Study in Mathematics (VIASM) in summer 2022. They are very grateful to VIASM for the support and hospitality. The authors also wish to express their sincere thanks to the anonymous referee for valuable suggestions that improved the final version of this manuscript.

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