| 言語種別 | 英語 |
|---|---|
| 発行・発表の年月 | 2010/12 |
| 形態種別 | 学術研究論文 |
| 査読 | 査読あり |
| 標題 | Orbits, rings of invariants and Weyl groups for classical $\Theta$-groups |
| 執筆形態 | 単著 |
| 巻・号・頁 | 62,527-558 |
| 概要 | For a classical $\Theta$-group naturally contained in a general linear group, we show the restriction map, from the ring of invariants of the Lie algebra of the general linear group to that of the $\Theta$-representation defined by the $\Theta$-group, is surjective.
As a consequence, we obtain explicitly algebraically independent generators of the ring of invariants of the $\Theta$-representation. We also give a description of the Weyl groups of the classical $\Theta$-groups. |