CLASSIFICATION OF SOLVABLE LIE ALGEBRAS WHOSE NON-TRIVIAL COADJOINT ORBITS OF SIMPLY CONNECTED LIE GROUPS ARE ALL OF CODIMENSION 2

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.

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 60; no. 4; pp. 835 - 858
Main Authors Hieu Van Ha, Vu Anh Le, Tu Thi Cam Nguyen, Hoa Duong Quang
Format Journal Article
LanguageKorean
Published 2023
Subjects
MD-algebras
Lie groups
classification of Lie algebras
Solvable
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Summary: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.
Bibliography:KISTI1.1003/JNL.JAKO202319849324965
ISSN:0304-9914