An invariant measure for the loop space of a simply connected compact symmetric space

dc.creatorPickrell, Doug
dc.date2004-09-04
dc.date.accessioned2026-07-07T04:31:26Z
dc.date.available2026-07-07T04:31:26Z
dc.descriptionLet X denote a simply connected compact Riemannian symmetric space, U the universal covering of the identity component of the group of automorphisms of X, and LU the loop group of U. In this paper we prove the existence (and conjecture the uniqueness) of an LU-invariant probability measure on a distributional completion of the loop space of X.
dc.descriptionAMSTEX, 44 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0409013
dc.identifierhttp://arxiv.org/abs/math-ph/0409013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57813
dc.subjectMathematical Physics
dc.subject81T40, 22E67, 58D20
dc.titleAn invariant measure for the loop space of a simply connected compact symmetric space
dc.typetext

Files

Collections