2013 Fiscal Year Final Research Report
Study of super algebraic groups from functorial viewpoint
| Project/Area Number |
23540039
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | University of Tsukuba |
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Principal Investigator |
MASUOKA Akira 筑波大学, 数理物質系, 准教授 (50229366)
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| Project Period (FY) |
2011 – 2013
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| Keywords | ホップ代数 / スーパー代数群 / ホップ・ガロア拡大 / ピカール・ヴェシオ理論 |
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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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Research Products
(9 results)
