Authors: Michael Rapoport
Publish Date: 2000/02/01
Volume: 101, Issue: 2, Pages: 153-166
Abstract
Let G be an unramified reductive group over a local field We consider the matrix describing the Satake isomorphism in terms of the natural bases of the source and the target We prove that all coefficients of this matrix which are not obviously zero are in fact positive numbers The result is then applied to an existence problem of Fcrystals which is a partial converse to Mazurs theorem relating the Hodge polygon and the Newton polygon
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