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arXiv · 2403.19058

Quotients in super-symmetry: formal supergroup case

Yuta Takahashi·Akira Masuoka
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Abstract

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.

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Yuta Takahashi, Akira Masuoka. 2024-03-27. Quotients in super-symmetry: formal supergroup case. https://arxiv.org/abs/2403.19058

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