Constructions of the moonshine vertex operator algebra by using orbifold theories
| Project/Area Number |
20549004
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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 |
Algebra
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| Research Institution | Aichi University of Education |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,150,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥750,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | 頂点作用素代数 / ムーンシャイン / モンスター / 符号 / 格子 / 自己同型群 / 直交群 / 直交空間 / 枠付き頂点作用素代数 |
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| Research Abstract |
By this research project, we obtain a new construction of the moonshine vertex operator algebra based on quadratic spaces. As an application, we obtain a new description of a maximal subgroup of the Monster simple group. This is an analog of the known constructions of the Golay code and Leech lattice. Hence we obtain a new relation among codes, lattices and vertex operator algebras. Moreover, by this approach, we would construct new holomorphic vertex operator algebras of central charge 24.
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Report
(5 results)
Research Products
(26 results)
