26 citations · 87 across the 27 of their papers we have counts for
8 papers · 1 filter
Supersymmetric Picard-Vessiot Theory, I: Basic Theory
Akira Masuoka
M. Takeuchi (1989) proposed a Hopf-algebraic approach to Picard-Vessiot (or PV) theory, giving a new definition of PV extensions by which such extensions become more smoothly conne…
Torsors in super-symmetry
Akira Masuoka, Takuya Oe, Yuta Takahashi
Torsors under affine groups are generalized in the super context by super-torsors under affine super-groups. We investigate those super-torsors by using Hopf-algebra language and t…
Affine algebraic super-groups with integral
Akira Masuoka, Taiki Shibata, Yuta Shimada
We generalize to the super context, the known fact that if an affine algebraic group over a commutative ring acts freely (in an appropriate sense) on an affine scheme o…
Geometric construction of quotients in supersymmetry
Akira Masuoka, Yuta Takahashi
It was proved by the first-named author and Zubkov [13] that given an affine algebraic supergroup and a closed sub-supergroup over an arbitrary field of c…
Hopf-algebraic techniques applied to super Lie groups over a complete field
Mitsukazu Hoshi, Akira Masuoka, Yuta Takahashi
We show basic results on super-manifolds and super Lie groups over a complete field of characteristic , extensively using Hopf-algebraic techniques. The main results are two…
On functor points of affine supergroups
Akira Masuoka, Taiki Shibata
To construct an affine supergroup from a Harish-Chandra pair, Gavarini [2] invented a natural method, which first constructs a group functor and then proves that it is representabl…