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.

Publication Details

Journal
ArXiv.org
Published
2025-04-17
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Lie Superheaps and their Groupification

ArXiv.org
Homotopy and Cohomology in Algebraic Topology
article

Lie Superheaps and their Groupification

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 44%
Homotopy and Cohomology in Algebraic Topology
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Lie Superheaps and their Groupification · ArXiv.org (2025) | TGRS Research Map | TGRS