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In mathematics, Plancherel measure is a measure defined on the set of irreducible unitary representations of a locally compact group , that describes how the regular representation breaks up into irreducible unitary representations. In some cases the term Plancherel measure is applied specifically in the context of the group being the finite symmetric group – see below. It is named after the Swiss mathematician Michel Plancherel for his work in representation theory.

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  • In der Mathematik ist das Plancherel-Maß ist ein Wahrscheinlichkeitsmaß, welches auf der Menge der irreduziblen Darstellungen einer lokalkompakte Gruppe definiert wird. Das Plancherel-Maß auf halbeinfachen Lie-Gruppen ist ein von Harish-Chandra eingeführtes wichtiges Konzept der Darstellungstheorie von Gruppen. (de)
  • In mathematics, Plancherel measure is a measure defined on the set of irreducible unitary representations of a locally compact group , that describes how the regular representation breaks up into irreducible unitary representations. In some cases the term Plancherel measure is applied specifically in the context of the group being the finite symmetric group – see below. It is named after the Swiss mathematician Michel Plancherel for his work in representation theory. (en)
  • Em matemática, a medida Plancherel é uma medida definida sobre o conjunto de representações irredutíveis unitárias de um grupo localmente compacto , que descreve como a representação regular se fragmenta em representações unitárias irredutíveis. Em alguns casos, o termo medida Plancherel é aplicado especificamente no contexto do grupo sendo o grupo simétrico finito . É nomeado em homenagem ao matemático Suíço Michel Plancherel por seu trabalho na representação teoria. (pt)
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  • In der Mathematik ist das Plancherel-Maß ist ein Wahrscheinlichkeitsmaß, welches auf der Menge der irreduziblen Darstellungen einer lokalkompakte Gruppe definiert wird. Das Plancherel-Maß auf halbeinfachen Lie-Gruppen ist ein von Harish-Chandra eingeführtes wichtiges Konzept der Darstellungstheorie von Gruppen. (de)
  • In mathematics, Plancherel measure is a measure defined on the set of irreducible unitary representations of a locally compact group , that describes how the regular representation breaks up into irreducible unitary representations. In some cases the term Plancherel measure is applied specifically in the context of the group being the finite symmetric group – see below. It is named after the Swiss mathematician Michel Plancherel for his work in representation theory. (en)
  • Em matemática, a medida Plancherel é uma medida definida sobre o conjunto de representações irredutíveis unitárias de um grupo localmente compacto , que descreve como a representação regular se fragmenta em representações unitárias irredutíveis. Em alguns casos, o termo medida Plancherel é aplicado especificamente no contexto do grupo sendo o grupo simétrico finito . É nomeado em homenagem ao matemático Suíço Michel Plancherel por seu trabalho na representação teoria. (pt)
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  • Plancherel-Maß (de)
  • Plancherel measure (en)
  • Medida Plancherel (pt)
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