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Mathematics > Algebraic Geometry

Title: Quotients in super-symmetry: formal supergroup case

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.
Comments: 21 pages; to appear in Comm. Algebra
Subjects: Algebraic Geometry (math.AG); Rings and Algebras (math.RA)
MSC classes: 16T05, 14L14, 14M30
Cite as: arXiv:2403.19058 [math.AG]
  (or arXiv:2403.19058v1 [math.AG] for this version)

Submission history

From: Akira Masuoka [view email]
[v1] Wed, 27 Mar 2024 23:51:57 GMT (22kb)

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