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 2009/03
発表テーマ The number of nilpotent orbits for symmetric pairs.
会議名 The 8th Workshop on Nilpotent Orbits and Representation Theory
発表区分 講演
発表形式 口頭(一般)
単独共同区分 共同
開催地名 Ohtsu, Japan
種別 国際的又は全国的規模
発表者・共同発表者 Kyo Nishiyama, Akihito Wachi
概要 Let G be a connected reductive complex algebraicc group, (G,K) a symmetric pair, and g = k + s denote the associated Cartan decomposition. We call an orbit on the set N_s of the nilpotent elements in s a nilpotent orbit of symmetric pair. As to the nilpotent orbits of symmetric pair, we talks about:
(1) the generating function of the number of the nilpotent orbits
(2) the graph of adjacent relations of codimension one
(3) associated varieties of irreducible H-C modules and adjacent relations