
Journal of Lie Theory 13 (2003), No. 2, 427442 Copyright Heldermann Verlag 2003 On a Diffeological Group Realization of Certain Generalized Symmetrizable KacMoody Lie Algebras Joshua Leslie Dept. of Mathematics, Howard University, Washington, DC, U.S.A. We utilize the notion of infinite dimensional diffeological Lie groups and diffeological Lie algebras to construct a Lie group structure on the space of smooth paths into a completion of a generalized KacMoody Lie algebra associated to a symmetrized generalized Cartan matrix. We then identify a large normal subgroup of this group of paths such that the quotient group has the soughtafter properties of a candidate for a Lie group corresponding to the completion of the initial Kac Moody Lie algebra. [ Fulltextpdf (216 KB)] for subscribers only. 