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