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和地 輝仁
ワチ アキヒト WACHI Akihito 所 属 釧路校 職 名 教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2012/12 |
| 形態種別 | 学術雑誌 |
| 査読 | 査読あり |
| 標題 | Logarithmic derivative and Capelli identities |
| 執筆形態 | 単著 |
| 掲載誌名 | RIMS Kokyuroku Bessatsu |
| 出版社・発行元 | RIMS, Kyoto University |
| 巻・号・頁 | B36,pp.43-52 |
| 概要 | When $f$ is the determinant, its $b$-function is easily calculated by using the Capelli identity. The above $f$ is the fundamental relative invariant of the prehomogeneous vector space corresponding to a quiver of type A_2. In this article, we consider prehomogeneous vector spaces associated to equioriented quivers of type A_n, and give an analogue of Capelli identities and the $b$-functions of the relative invariants. |
| ISSN | 1881-6193 |