Lie superheaps and their groupification
Bulletin Polish Acad. Sci. Math.
MSC: Primary 20N10; Secondary 22E15, 58A50
DOI: 10.4064/ba250420-6-8
Published online: 12 August 2025
Abstract
We introduce the notion of 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.
