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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 | 2008/10 |
| 形態種別 | 学術雑誌 |
| 査読 | 査読あり |
| 標題 | Intersection of harmonics and Capelli identities for symmetric pairs. |
| 執筆形態 | 共著 |
| 掲載誌名 | J. Math. Soc. Japan |
| 出版社・発行元 | Math. Soc. Japan |
| 巻・号・頁 | 60(4),pp.955-982 |
| 著者・共著者 | Lee, Soo Teck; Nishiyama, Kyo; Wachi, Akihito.
(there is not the notion of first author in mathematics) |
| 概要 | We consider a see-saw pair consisting of a Hermitian symmetric pair $(G_R, K_R)$ and a compact symmetric pair $(M_R, H_R)$. In this setting, we get Capelli identities which explicitly represent certain $K_C$-invariant elements in $U(\lieg_C)$ in terms of $H_C$-invariant elements in $U(\liem_C)$. We also give a decomposition of the intersection of $\OO_{2n}$-harmonics and $\Sp_{2n}$-harmonics as a module of $\GL_n = \OO_{2n} \cap \Sp_{2n}$. |