26 citations · 87 across the 27 of their papers we have counts for
28 papers
Smoothness of commutative Hopf algebras
Kensuke Egami, Akira Masuoka, Kenta Suzuki
Hopf algebras, most generally in a semisimple abelian symmetric monoidal category, are here supposed to be commutative but not to be of finite-type, and their (equivariant) smoothn…
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…
Twisted forms of differential Lie algebras over associated with complex simple Lie algebras
Akira Masuoka, Yuta Shimada
Discussed here is descent theory in the differential context where everything is equipped with a differential operator. To answer a question personally posed by A. Pianzola, we det…
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…