Kac-Moody Groups and Completions

2017/06/26 by Capdeboscq, Inna, Rumynin, Dmitriy
#20G44 (Primary) #22A05 (Secondary) #FOS: Mathematics #General Topology (math.GN) #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1706.08374

Abstract

In this paper we construct a new "pro-p-complete" topological Kac-Moody group and compare it to various known topological Kac-Moody groups. We come across this group by investigating the process of completion of groups with BN-pairs. We would like to know whether the completion of such a group admits a BN-pair. We give explicit criteria for this to happen.

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