Journal of Lie Theory

no. 3
Infinite Loop Spaces Associated to Affine Kac-Moody Groups
Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 699-709
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.
DOI: 10.5802/jolt.745
Classification: 55P47, 20G44
Keywords: Infinite loop space, affine Kac-Moody group 
@article{JOLT_2013_23_3_a5,
     author = {X. Lin},
     title = {Infinite {Loop} {Spaces} {Associated} to {Affine} {Kac-Moody} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {699--709},
     year = {2013},
     volume = {23},
     number = {3},
     doi = {10.5802/jolt.745},
     zbl = {1278.55019},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.745/}
}
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X. Lin. Infinite Loop Spaces Associated to Affine Kac-Moody Groups. Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 699-709. doi: 10.5802/jolt.745

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