Admissible representation of a locally profinite group
= Admissible representation of a locally profinite group
= Admissible representation
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= Admissible
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An <admissible representation> is a <smooth representation> for which every <fixed-vector space> $V^K$ for a <compact-open subgroup> has finite dimension. Admissibility can hold for an infinite-dimensional representation; it bounds each local fixed level, not their union.