Quotients in super-symmetry: formal supergroup case
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910388474347520 |
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| author | Takahashi, Yuta Masuoka, Akira |
| author_facet | Takahashi, Yuta Masuoka, Akira |
| contents | We describe the structure of the quotient $\mathfrak{G}/\mathfrak{H}$ of a formal supergroup $\mathfrak{G}$ by its formal sub-supergroup $\mathfrak{H}$. This is a consequence which arises as a continuation of the authors' work (partly with M. Hashi) on algebraic/analytic supergoups.The results are presented and proved in terms of super-cocommutative Hopf superalgebras. The notion of co-free super-coalgebras plays a role, in particular. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19058 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quotients in super-symmetry: formal supergroup case Takahashi, Yuta Masuoka, Akira Algebraic Geometry Rings and Algebras 16T05, 14L14, 14M30 We describe the structure of the quotient $\mathfrak{G}/\mathfrak{H}$ of a formal supergroup $\mathfrak{G}$ by its formal sub-supergroup $\mathfrak{H}$. This is a consequence which arises as a continuation of the authors' work (partly with M. Hashi) on algebraic/analytic supergoups.The results are presented and proved in terms of super-cocommutative Hopf superalgebras. The notion of co-free super-coalgebras plays a role, in particular. |
| title | Quotients in super-symmetry: formal supergroup case |
| topic | Algebraic Geometry Rings and Algebras 16T05, 14L14, 14M30 |
| url | https://arxiv.org/abs/2403.19058 |