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Quotients in super-symmetry: formal supergroup case

Authors :
Takahashi, Yuta
Masuoka, Akira
Publication Year :
2024

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.<br />Comment: 21 pages; to appear in Comm. Algebra

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2403.19058
Document Type :
Working Paper