Lie superheaps and their groupification
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.
Authors
- Andrew James Bruce (ORCID: https://orcid.org/0000-0001-8197-2263)
Institutions
- Institute of Mathematics (PL)
- Polish Academy of Sciences (PL)
Publication Details
- Journal
- Bulletin of the Polish Academy of Sciences Mathematics
- Published
- 2025-08-12
- DOI
- https://doi.org/10.4064/ba250420-6-8
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00