Study of super algebraic groups from functorial viewpoint
Project/Area Number |
23540039
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | University of Tsukuba |
Principal Investigator |
MASUOKA Akira 筑波大学, 数理物質系, 准教授 (50229366)
|
Project Period (FY) |
2011 – 2013
|
Project Status |
Completed (Fiscal Year 2013)
|
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)
|
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 / コサイクル変形 / スーパー・アフィン群 / 超代数 / Harish-Chandraペア |
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.
|
Report
(4 results)
Research Products
(18 results)