Kirillov theory for compact p-adic groups
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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 Q p or local fields of characteristic zero.) The basic inspiration for such a description goes back to Kirillovs 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. 1977, University of California, Berkeley. All Rights Reserved.