Study of super algebraic groups from functorial viewpoint

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Applying Hopf-algebraic techniques, the PI studied super algebraic groups, non-commutative torsors and Picard-Vessiot Theory. As for super algebraic groups, there were shown basic results, such as (i) the theorem (joint with A. Zubkov) which states that the quotient sheaf G/H of a super algebraic group G by a closed super subgroup H is a super scheme, and (ii) the category equivalencebetween Harish-Chandra pairs and super algebraic groups. In addtion the PI studied with P. Guillot and C. Kassel, the deformation of algebras using non-commutative torsors, and investigated with M. Yanagawa, Picard-Vessiot Theory by Hopf-algebraic approach.