Kirillov-Frenkel character formula for Loop groups, radial part and Brownian sheet

Abstract : We consider the coadjoint action of a Loop group of a compact group on the dual of the corresponding centrally extended Loop algebra and prove that a Brownian motion in a Cartan subalgebra conditioned to remain in an affine Weyl chamber - which can be seen as a space time conditioned Brownian motion - is distributed as the radial part process of a Brownian sheet on the underlying Lie algebra.
Type de document :
Pré-publication, Document de travail
2016
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https://hal.archives-ouvertes.fr/hal-01284683
Contributeur : Manon Defosseux <>
Soumis le : lundi 7 mars 2016 - 22:53:10
Dernière modification le : mardi 10 octobre 2017 - 11:22:04

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  • HAL Id : hal-01284683, version 1

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Manon Defosseux. Kirillov-Frenkel character formula for Loop groups, radial part and Brownian sheet. 2016. 〈hal-01284683〉

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