Vol. 73, No. 2, 1977

Recent Issues
Vol. 311: 1
Vol. 310: 1  2
Vol. 309: 1  2
Vol. 308: 1  2
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Online Archive
The Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
Other MSP Journals
Kirillov theory for compact p-adic groups

Roger Evans Howe

Vol. 73 (1977), No. 2, 365–381

The purpose here is to describe a method by which one may obtain a reasonably explicit and “global” picture of the unitary representation theory of compact p-adic groups, and to indicate some applications. (By p-adic, we refer to Qp, or local fields of characteristic zero.) The basic inspiration for such a description goes back to Kirillov’s work on nilpotent lie groups. The main ingredients are the exponential map and the co-adjoint action. The Campbell-Hausdorff formula is used heavily as a tool.

Mathematical Subject Classification 2000
Primary: 22E50
Received: 21 May 1977
Published: 1 December 1977
Roger Evans Howe