Lie Superheaps and their Groupification
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866916882907398144 |
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| author | Bruce, Andrew James |
| author_facet | Bruce, Andrew James |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13345 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lie Superheaps and their Groupification Bruce, Andrew James Mathematical Physics Algebraic Geometry Differential Geometry 20N10, 22E15, 58A50 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. |
| title | Lie Superheaps and their Groupification |
| topic | Mathematical Physics Algebraic Geometry Differential Geometry 20N10, 22E15, 58A50 |
| url | https://arxiv.org/abs/2504.13345 |