2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159515We define measures on central extension of current groups in any dimension by using infinite dimensional Brownian motion.Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ProbabilityGroup TheoryHeat Kernel Measure on Central Extension of Current Groups in any Dimensiontext