CURRENT ALGEBRA FUNCTORS AND EXTENSIONS

Abstract

We show how the fundamental cocycles on current Lie algebras and the Lie algebra of symmetries for the sigma model are obtained via the current algebra functors introduced in [A. Alekseev and P. Severa, Equivariant cohomology and current algebras, Confluentes Math.4 (2012) 1250001, 40 pp.]. We present current group extensions integrating some of these current Lie algebra extensions.