Non-cuspidality outside the middle degree of ?-adic cohomology of the Lubin-Tate tower |
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Authors: | Yoichi Mieda |
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Institution: | Faculty of Mathematics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan |
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Abstract: | In this article, we consider the representations of the general linear group over a non-archimedean local field obtained from the vanishing cycle cohomology of the Lubin-Tate tower. We give an easy and direct proof of the fact that no supercuspidal representation appears as a subquotient of such representations unless they are obtained from the cohomology of the middle degree. Our proof is purely local and does not require Shimura varieties. |
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Keywords: | 22E50 14G35 11F70 |
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