Quotients in super-symmetry: formal supergroup case

التفاصيل البيبلوغرافية
العنوان: Quotients in super-symmetry: formal supergroup case
المؤلفون: Takahashi, Yuta, Masuoka, Akira
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, Mathematics - Rings and Algebras, 16T05, 14L14, 14M30
الوصف: 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.
Comment: 21 pages; to appear in Comm. Algebra
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.19058
رقم الأكسشن: edsarx.2403.19058
قاعدة البيانات: arXiv