| タイトル | Left-invariant symplectic structures on diagonal almost abelian Lie groups |
| 著者（英） | CastellanosMoscoso, Luis Pedro |
| 著者所属（日） | 大阪市立大学 |
| 著者所属（英） | Osaka City University |
| 発行日 | 2022-11 |
| 発行機関など | Mathematics Program, Graduate School of Advanced Science and Engineering, Hiroshima University
広島大学大学院先進理工系科学研究科数学プログラム |
| 刊行物名 | Hiroshima mathematical journal |
| 巻 | 52 |
| 号 | 3 |
| 開始ページ | 357 |
| 終了ページ | 378 |
| 刊行年月日 | 2022-11 |
| 言語 | eng |
| 抄録 | We are interested in the classification or finding conditions for the existence of left-invariant symplectic structures on Lie groups. Some classifications are known, especially in low dimensions. We approach this problem by studying the ‘‘moduli space of left-invariant nondegenerate 2-forms’’, which is a certain orbit space in the set of all nondegenerate 2-forms on a Lie algebra. In this paper, using this approach, we give a classification of left-invariant symplectic structures on all almost abelian Lie algebras determined by diagonal matrices. |
| キーワード | Almost abelian Lie groups; left-invariant symplectic structures; SR decomposition |
| 資料種別 | Journal Article |
| NASA分類 | Theoretical Mathematics |
| ISSN | 0018-2079 |
| NCID | AA00664323 |
| SHI-NO | AA2240339006 |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/1158006 |
