Heat Kernel Measure on Central Extension of Current Groups in any Dimension

Rémi Léandre

Institut de Mathématiques de Bourgogne, Université de Bourgogne, 21000 Dijon, France

Abstract: We define measures on central extension of current groups in any dimension by using infinite dimensional Brownian motion.

Keywords: Brownian motion; central extension; current groups.

MSC: 22E65; 60G60

Received: October 30, 2005; in final form January 13, 2006; Published online January 13, 2006

Language: English

DOI: 10.3842/SIGMA.2006.003

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ArXiv: math.PR/0601330