Year: 2025
Type: article
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.
DOI: 10.4064/ba250420-6-8
Author: Andrew James Bruce
Institutions: Institute of Mathematics, Polish Academy of Sciences
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413129372