The Plancherel formula for minimal parabolic subgroups (Q2927939)
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scientific article; zbMATH DE number 6365983
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Plancherel formula for minimal parabolic subgroups |
scientific article; zbMATH DE number 6365983 |
Statements
5 November 2014
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reductive Lie group
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nilpotent Lie group, minimal parabolic subgroup
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Plancherel formula
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square integrable representation
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math.RT
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The Plancherel formula for minimal parabolic subgroups (English)
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The author extends his previous results, which have been proved for a nilradical \(N\) of minimal parabolic subgroups \(P\), from \(N\) to these \(P\). The Pfaffian polynomials, which give orthogonality relations and the Plancherel density for \(N\), also give a semi-invariant differential operator that compensates the lack of unimodularity for \(P\). So the author in this paper gets a completely explicit Plancherel formula for \(P\).
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