
Journal of Lie Theory 23 (2013), No. 3, 699709 Copyright Heldermann Verlag 2013 Infinite Loop Spaces Associated to Affine KacMoody Groups Xianzu Lin College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350108, China linxianzu@126.com The main purpose of this paper is to construct infinite loop spaces from affine KacMoody groups, It is well known that to each infinite class of classical groups over a commutative ring R, we can associate an infinite loop space G(R) by Quillen's plus construction. In this paper we generalize this fact to the cases of affine KacMoody groups. Roughly speaking, for each commutative ring R there are seven infinite classes of affine KacMoody groups over R, and to each infinite class we can associate an analogous infinite loop space. Keywords: Infinite loop space, affine KacMoody group. MSC: 55P47, 20G44 [ Fulltextpdf (329 KB)] for subscribers only. 