タニグチ　ケンジ   TANIGUCHI Kenji   谷口　健二    所属   青山学院大学  理工学部 数理サイエンス学科    職種   教授
言語種別	英語
発行・発表の年月	2015/04
形態種別	学術雑誌
査読	査読あり
標題	"Socle filtrations of the standard Whittaker (g,K)-modules of Spin(r,1)"
執筆形態	単独
巻・号・頁	pp.43-61
概要	Studied are the composition series of the standard Whittaker (g,K)-modules. For a generic infinitesimal character, the structures of these modules are completely understood, but if the infinitesimal character is integral, then there are not so many cases in which the structures of them are known. In this paper, as an example of the integral case, we determine the socle filtrations of the standard Whittaker (g,K)-modules when G is the group Spin(r,1) and the infinitesimal character is regular integral.