Representation theory

Plancherel measure

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. (Wikipedia).

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Related pages

Permutation | Locally compact group | Haar measure | Random walk | Symmetric group | Mathematics | Young's lattice | Tempered representation | Measure (mathematics) | Young tableau | Robinson–Schensted correspondence | Probability distribution | Irreducible representation | Finite group | Longest increasing subsequence | Representation theory