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 物理・数理学科
   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 査読有り
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.