Self-contragredient supercuspidal representations of $\mathrm{GL}

Self-contragredient supercuspidal representations of $\mathrm{GL}
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$mathrm{GL} 的自反尖顶表示

DOI:
10.1090/s0002-9939-97-03786-6
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发表时间:
1997
期刊:
arXiv: Representation Theory
影响因子:
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通讯作者:
Jeffrey D. Adler
Jeffrey D. Adler
中科院分区:
--
文献类型:
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作者:
Jeffrey D. Adler

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。设F为残余特征p的非阿基米德局部域。当且仅当n或p为偶数时,GL n (F)具有正则化的自矛盾超尖表示。当这样的表象存在时,它们会大量存在。
. Let F be a non-archimedean local field of residual characteristic p . Then GL n ( F ) has tamely ramified self-contragredient supercuspidal representations if and only if n or p is even. When such representations exist, they do so in abundance.