| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
Seven papers were published from international scientific journals, two of which resulted from international joint research. There were presented three lectures, which include one invited lecture at an international conference.
Obtained were fundamental results on algebraic supergroups and super Lie groups. Hopf-algebraic idea and techniques were applied. Among others, the PI concretely constructed the quotient superscheme G/H of an algebraic supergroup G by a closed super-subgroup H, and showed desirable properties of the superscheme; the result contributes much to representation theory of algebraic supergroups. Pursuing an analytic analogue of the algebraic argument brought some new results on homogeneous superspaces G/H of super Lie groups.
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