Theory of quantum differential geometry
| Project/Area Number |
20540095
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
OMORI Hideki Tokyo University of Science, 理工学部・数学科, 教授 (20087018)
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| Co-Investigator(Kenkyū-buntansha) |
KOBAYASI Takao 東京理科大学, 理工学部・数学科, 教授 (90178319)
吉岡 朗 東京理科大学, 理学部, 教授 (40200935)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 微分幾何 / 変形量子化 / 表示変形論 / 非可換幾何学 / *-積 / ワイル代数 / 非可換微分幾何 |
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| Research Abstract |
Deformation quantization gives a method of univalent expression of elements of non-commutative algebra. This may be viewed as a deformation theory of expression of element of algebra.
We succeeded the construction of the general theory of deformation expressions for elements of Weyk algebras. This gives a suggestive toy model for the theory of observation in physics.
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Report
(4 results)
Research Products
(9 results)
