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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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| 発表年月日 | 2010/02 |
| 発表テーマ | Symmetric pairs and Capelli identities. |
| 会議名 | Workshop on Invariant Theory and Related Topics |
| 発表区分 | 講演 |
| 発表形式 | 口頭（一般） |
| 単独共同区分 | 単独 |
| 開催地名 | Inha University, Korea |
| 種別 | 国際的又は全国的規模 |
| 発表者・共同発表者 | Akihito Wachi |
| 概要 | If f is a relative invariant of a reductive prehomogeneous vector space,
then P(s) is given by replacing variables in f with corresponding partial differential operators, which is independent of s. In particular, when f is the determinant, its b-function is easily seen by using the Capelli identity. In this talk, we consider prehomogeneous vector spaces associated to equioriented quivers of type A, and give an analogue of Capelli identities and the b-functions of the relative invariants. |