Lie superheaps and their groupification

Autorzy

Dane publikacji

  • DOI: 10.4064/ba250420-6-8

  • Tom 73

  • Zeszyt 1

  • Czasopismo: Bulletin of the Polish Academy of Sciences Mathematics

  • Strony: 25-35

  • Data publikacji online: 11.08.2025

Liczba wyświetleń: 0

Liczba pobrań: 0

Abstrakt

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.
Lie superheaps and their groupification - Bulletin of the Polish Academy of Sciences Mathematics | Wydawnictwa - Instytut Matematyczny Polskiej Akademii Nauk