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Compact lie groups and complex reductive groups
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Jones, John D. S., Rumynin, Dmitriy and Thomas, Adam (2024) Compact lie groups and complex reductive groups. Homology, Homotopy and Applications, 26 (1). pp. 177-188. doi:10.4310/HHA.2024.v26.n1.a12 ISSN 1532-0073.
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Official URL: http://doi.org/10.4310/HHA.2024.v26.n1.a12
Abstract
We show that the categories of compact Lie groups and complex reductive groups (not necessarily connected) are homotopy equivalent topological categories. In other words, the corresponding categories enriched in the homotopy category of topological spaces are equivalent. This can also be interpreted as an equivalence of infinity categories.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Homology, Homotopy and Applications | ||||||
Publisher: | International Press | ||||||
ISSN: | 1532-0073 | ||||||
Official Date: | 20 March 2024 | ||||||
Dates: |
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Volume: | 26 | ||||||
Number: | 1 | ||||||
Page Range: | pp. 177-188 | ||||||
DOI: | 10.4310/HHA.2024.v26.n1.a12 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 11 May 2023 | ||||||
Related URLs: | |||||||
Open Access Version: |
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