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Kirillov theory for
compact p-adic groups
Roger Evans Howe |
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Vol. 73 (1977), No. 2, 365–381
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Abstract |
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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 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
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Milestones
Received: 21 May 1977
Published: 1 December 1977
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Authors |
| Roger Evans Howe | |
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