Minuscule alcoves for GLn and GSp2n |
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| Authors: | R Kottwitz M Rapoport |
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| Institution: | Mathematics Department, University of Chicago, 5734 University Avenue, Chicago, IL 60637, USA. e-mail: kottwitz@math.uchicago.edu, US
Mathematisches Institut der Universit?t zu K?ln, Weyertal 86–90, 50931 K?ln, Germany, DE
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| Abstract: | Let μ be a minuscule coweight for either GL
n
or GSp
2n
, and regard μ as an element t
μ in the extended affine Weyl group . We say that an element is μ-admissible if there exists μ′ in the Weyl group orbit of μ such that x≤t
μ′ in the Bruhat order on . Our main result is that is μ-admissible if and only if it is μ-permissible, where μ-permissibility is defined using inequalities arising naturally
in the study of bad reduction of Shimura varieties.
Received: 5 July 1999 |
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| Keywords: | |
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