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Kac-Moody groups and completions

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Capdeboscq, Inna (Korchagina) and Rumynin, Dmitriy (2020) Kac-Moody groups and completions. Journal of Algebra, 561 . pp. 131-148. doi:10.1016/j.jalgebra.2020.02.026 ISSN 0021-8693.

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Official URL: https://doi.org/10.1016/j.jalgebra.2020.02.026

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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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Kac-Moody algebras, Lie groups, Linear algebraic groups, Buildings (Group theory)
Journal or Publication Title: Journal of Algebra
Publisher: Academic Press Inc Elsevier Science
ISSN: 0021-8693
Official Date: 1 November 2020
Dates:
DateEvent
1 November 2020Published
31 March 2020Available
24 March 2020Accepted
Volume: 561
Page Range: pp. 131-148
DOI: 10.1016/j.jalgebra.2020.02.026
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 25 March 2020
Date of first compliant Open Access: 31 March 2021
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIEDLeverhulme Trusthttp://dx.doi.org/10.13039/501100000275
UNSPECIFIEDRussia (Federation). Ministerstvo obrazovanii︠a︡ i naukiUNSPECIFIED
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