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 2009/01
形態種別 学術雑誌
査読 査読あり
標題 A note on the Capelli identities for symmetric pairs of Hermitian type.
執筆形態 共著
掲載誌名 Infinite Dimensional Harmonic Analysis IV
出版社・発行元 World Scientific
巻・号・頁 pp.223-254
著者・共著者 Kyo Nishiyama, Akihito Wachi.
(there is not the notion of first author in mathematics)
概要 We get several identities of differential operators in determinantal form. These identities are non-commutative versions of the formula of Cauchy-Binet or Laplace expansions of determinants, and if we take principal symbols, they are reduced to such classical formulas. These identities are naturally arising from the generators of the rings of invariant differential operators over symmetric spaces, and have strong resemblance to the classical Capelli identities.