| 言語種別 | 英語 |
|---|---|
| 発行・発表の年月 | 2019/01 |
| 形態種別 | 学術研究論文 |
| 査読 | 査読あり |
| 標題 | Enhanced adjoint action and their orbits for the general linear group |
| 執筆形態 | 共著 |
| 掲載誌名 | Pacific Journal of Mathematics |
| 掲載区分 | 国外 |
| 出版社・発行元 | Pacific Journal of Mathematics |
| 巻・号・頁 | 298(1),141-155 |
| 総ページ数 | 15 |
| 著者・共著者 | Kyo Nishiyama, Takuya Ohta |
| 概要 | We study an enhanced adjoint action of the general linear group on a product
of its Lie algebra and a vector space consisting of several copies of defining representations and its duals. We determine regular semisimple orbits (i.e., closed orbits of maximal dimension) and the structure of enhanced null cone, including its irreducible components and their dimensions. |