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Kac-Moody groups and cosheaves on Davis building
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Hristova, Katerina and Rumynin, Dmitriy (2018) Kac-Moody groups and cosheaves on Davis building. Journal of Algebra, 515 . pp. 202-235. doi:10.1016/j.jalgebra.2018.08.021 ISSN 0021-8693.
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Official URL: https://doi.org/10.1016/j.jalgebra.2018.08.021
Abstract
We investigate smooth representations of complete Kac-Moody groups. We approach representation theory via geometry, in particular, the group action on the Davis realisation of its Bruhat-Tits building. Our results include an estimate on projective dimension, localisation theorem, unimodularity and homological duality.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Kac-Moody algebras, Group theory | |||||||||
Journal or Publication Title: | Journal of Algebra | |||||||||
Publisher: | Academic Press Inc Elsevier Science | |||||||||
ISSN: | 0021-8693 | |||||||||
Official Date: | 1 December 2018 | |||||||||
Dates: |
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Volume: | 515 | |||||||||
Page Range: | pp. 202-235 | |||||||||
DOI: | 10.1016/j.jalgebra.2018.08.021 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Date of first compliant deposit: | 10 September 2018 | |||||||||
Date of first compliant Open Access: | 13 September 2019 | |||||||||
RIOXX Funder/Project Grant: |
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