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arxiv: 1406.7046 · v3 · pith:VGKL2MFDnew · submitted 2014-06-27 · 🧮 math.RT · math.CT· math.KT

Categorical Tori

Nora Ganter This is my paper
classification 🧮 math.RT math.CTmath.KT
keywords categoricaltoriextensionsgroupsactionapplicationassociatedcircle
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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.

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    The categorical automorphism group of the strict Lie 2-group classifying topological T-duality correspondences is a non-central categorical extension of the integral split pseudo-orthogonal group that splits over seve...