Infinite loop spaces associated to affine Kac-Moody groups

zbMATH Open1278.55019arXiv1012.5331MaRDI QIDQ2856382

Xianzu Lin

Publication date: 28 October 2013

Published in: Journal of Lie Theory (Search for Journal in Brave)

Abstract: It is well known that to each infinite class of classical groups over a commutative ring $R$, we can associate an infinite loop space by Quillen's plus construction. In this paper we generalize this fact to the case of affine Kac-Moody groups.

Full work available at URL: https://arxiv.org/abs/1012.5331

zbMATH Keywords

Kac-Moody groupQuillen's plus constructioninfintie loop space

Mathematics Subject Classification ID

Infinite loop spaces (55P47) Kac-Moody groups (20G44)

Related Items (1)

Infinite-dimensional reductive monoids associated to highest weight representations of Kac-Moody groups

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