和地 輝仁
  ワチ アキヒト   WACHI Akihito
   所  属   釧路校
   職  名   教授
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