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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 014, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.014 (Mi sigma1313) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Categorical Tori

Nora Ganter

School of Mathematics and Statistics, The University of Melbourne, Parkville, Victoria 3010, Australia
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DOI: https://doi.org/10.3842/SIGMA.2018.014
Abstract: We give explicit and elementary constructions of the categorical extensions of a torus by the circle and discuss an application to loop group extensions. Examples include maximal tori of simple and simply connected compact Lie groups and the tori associated to the Leech and Niemeyer lattices. We obtain the extraspecial 2-groups as the isomorphism classes of categorical fixed points under an involution action.
Keywords: categorification; Lie group cohomology.
Funding agency Grant number
Australian Research Council DP109581
The author was supported by an Australian Research Fellowship and by ARC grant DP109581.
Received: September 23, 2017; in final form January 31, 2018; Published online February 17, 2018
Bibliographic databases:
Document Type: Article
MSC: 22E99; 18D99
Language: English
Citation: Nora Ganter, “Categorical Tori”, SIGMA, 14 (2018), 014, 18 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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