Weyl integration formula

id: weyl-integration-formula-311-11505024
title: Weyl integration formula
text: In mathematics, the Weyl integration formula, introduced by Hermann Weyl, is an integration formula for a compact connected Lie group G in terms of a maximal torus T. Precisely, it says there exists a real-valued continuous function u on T such that for every class function f on G: Moreover, u is explicitly given as: u = | δ | 2 / # W where W = N G / T is the Weyl group determined by T and the product running over the positive roots of G relative to T. More generally, if f is only a continuous f
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category slug: encyclopedia
description: Mathematical formula
original url: https://en.wikipedia.org/wiki/Weyl_integration_formula
date created:
date modified: 2024-04-10T07:12:30Z
main entity: {"identifier":"Q96414618","url":"https://www.wikidata.org/entity/Q96414618"}
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