2016 Fiscal Year Final Research Report
Strategy for orbifold conjecture for finite simple automorphism groups
| Project/Area Number |
26610002
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
|
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
|
| Keywords | 頂点作用素代数 / 有限単純群 / 自己同型群 / 軌道予想 / C2有限性 / 有理性 |
|---|
| Outline of Final Research Achievements |
For a few examples, it has shown that the orbifold theory of a good conformal field theory (CFT) by a finite automorphism is again good. The orbifold conjecture says that this is true for general cases, but there were no proofs. Recently, we have proved this conjecture for a finite solvable automorphism group. In order to complete this problem, we have to treat simple groups, which does not have linear representation.
In this research, we have introduced a new concept of tensor product of modules, on which we have very important Borcherds identity. As an application, we studied the orbifold theory for a few simple groups.
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| Free Research Field |
Algebra
|
