Lie Superheaps and their Groupification
Mathematical Physics
2025-08-07 v2 Algebraic Geometry
Differential Geometry
math.MP
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.
Cite
@article{arxiv.2504.13345,
title = {Lie Superheaps and their Groupification},
author = {Andrew James Bruce},
journal= {arXiv preprint arXiv:2504.13345},
year = {2025}
}
Comments
7 pages, minor editing changes. Accepted for publication in the Bulletin of the Polish Academy of Sciences - Mathematics