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Lie Superheaps and their Groupification

Year: 2025
Type: preprint
Abstract: We introduce the notion of a Lie superheaps as a generalisation of Lie supergroups. We show that the well-known `groupification' and `heapification' functors generalise to the ambience of supergeometry. In particular, we show that there is an isomorphism between the categories of pointed Lie superheaps and Lie supergroups. To do this we make extensive use of the functor of points.
Language: English
Open Access status: green
OpenAlex ID: W6979345863
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