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 |