Jacquet functors and unrefined minimal \(K\)-types (Q1911955)
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scientific article; zbMATH DE number 872640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jacquet functors and unrefined minimal \(K\)-types |
scientific article; zbMATH DE number 872640 |
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Jacquet functors and unrefined minimal \(K\)-types (English)
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1 May 1996
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The authors define the notion of unrefined minimal \(K\)-type for a reductive group defined over a non-archimedean local field. They further define the depth of a representation. The authors determine the relationship between unrefined minimal \(K\)-types and the Jacquet functors. Analogues of fundamental results of Borel are proved for representations of depth zero.
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minimal \(K\)-type
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reductive group
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non-archimedean local field
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representation
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Jacquet functors
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