2006年
Theta lifting of nilpotent orbits for symmetric pairs
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- ,
- ,
- 巻
- 358
- 号
- 6
- 開始ページ
- 2713
- 終了ページ
- 2734
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1090/S0002-9947-05-03826-2
- 出版者・発行元
- AMER MATHEMATICAL SOC
We consider a reductive dual pair (G, G') in the stable range with G' the smaller member and of Hermitian symmetric type. We study the theta lifting of nilpotent K-C(')-orbits, where K' is a maximal compact subgroup of G' and we describe the precise K-C-module structure of the regular function ring of the closure of the lifted nilpotent orbit of the symmetric pair (G, K). As an application, we prove sphericality and normality of the closure of certain nilpotent K-C-orbits obtained in this way. We also give integral formulas for their degrees.
- リンク情報
- ID情報
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- DOI : 10.1090/S0002-9947-05-03826-2
- ISSN : 0002-9947
- Web of Science ID : WOS:000237159900019