Some subregular germs for \(p\)-adic \(Sp_ 4(F)\) (Q1345772)
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scientific article; zbMATH DE number 733292
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some subregular germs for \(p\)-adic \(Sp_ 4(F)\) |
scientific article; zbMATH DE number 733292 |
Statements
Some subregular germs for \(p\)-adic \(Sp_ 4(F)\) (English)
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2 April 1995
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The Shalika germ expansion [\textit{J. Shalika}, Ann. Math., II. Ser. 95, 226-242 (1972; Zbl 0281.22011)] expresses semisimple orbital integrals on \(p\)-adic reductive groups in terms of unipotent ones and some universal germs. It has become an important tool in \(p\)-adic harmonic analysis, especially in applications of the trace formula. In the present paper the authors give explicit computations of some subregular germs in the group \(G= Sp_4(F)\) for a \(p\)-adic field \(F\).
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Shalika germ
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orbital integrals
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reductive groups
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universal germs
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harmonic analysis
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trace formula
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