A classification of reductive prehomogeneous vector spaces and its application
Project/Area Number |
18540010
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | University of Tsukuba |
Principal Investigator |
KIMURA Tatsuo University of Tsukuba, 大学院・数理物質科学研究科, 教授 (30022726)
|
Project Period (FY) |
2006 – 2009
|
Project Status |
Completed (Fiscal Year 2009)
|
Budget Amount *help |
¥4,150,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
|
Keywords | 代数一般 / 概均質ベクトル空間 / 簡約可能代数群 / 分類 / クイバー |
Research Abstract |
We classified some prehomogeneous vector spaces (abbrev.PV) and as its application, we completed the classification of irreducible weakly spherical homogeneous spaces. The form of some of relative invariants of 2-simple PVs of type I were not known and we gave them explicitly. Then we classified some finite PVs including various scalar multiplications from which hypergeometric functions arise. We also develop the results of classification of reductive PVs by M.Sato.
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Report
(6 results)
Research Products
(26 results)
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[Book] 代数の魅力2009
Author(s)
木村達雄(第一著者)
Total Pages
227
Publisher
数学書房
Related Report
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