Journal of Lie Theory Vol. 13, No. 2, pp. 427442 (2003) 

On a Diffeological Group Realization of Certain Generalized Symmetrizable KacMoody Lie AlgebrasJoshua LeslieJoshua Leslie,Mathematics Department, Howard University Washington, DC USA jleslie@howard.edu Abstract: In this paper 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. Full text of the article:
Electronic version published on: 26 May 2003. This page was last modified: 14 Aug 2003.
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