Geodesic
Infinite Loop Spaces Associated to Affine Kac-Moody Groups
Xianzu Lin1
1College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350108, China
Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 699-709

Voir la notice de l'article provenant de la source Heldermann Verlag

The main purpose of this paper is to construct infinite loop spaces from affine Kac-Moody 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 Kac-Moody groups. Roughly speaking, for each commutative ring R there are seven infinite classes of affine Kac-Moody groups over R, and to each infinite class we can associate an analogous infinite loop space.
Classification : 55P47, 20G44
Mots-clés : Infinite loop space, affine Kac-Moody group

Xianzu Lin  1

1 College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350108, China 
Xianzu Lin. Infinite Loop Spaces Associated to Affine Kac-Moody Groups. Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 699-709. http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a5/
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     title = {Infinite {Loop} {Spaces} {Associated} to {Affine} {Kac-Moody} {Groups}},
     journal = {Journal of Lie Theory},
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     year = {2013},
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