| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Research Abstract |
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 equivalence
between 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.
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