Study on finiteness properties of vertex operator algebras
Project/Area Number |
20740017
|
Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Algebra
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Research Institution | Ehime University |
Principal Investigator |
ABE Toshiyuki Ehime University, 理工学研究科, 准教授 (30380215)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 頂点作用素代数 / 代数 / オービフォールド / 可換環 / 代数学 |
Research Abstract |
I have been working on a finiteness property called a C_2-cofiniteness property, for a vertex operator algebras. A fixed point subalgebra of a vertex operator algebra by its finite automorphism group is called an orbifold model. In the representation theory of vertex operator algebra there is a conjecture that if a vertex operator algebra has the C_2-cofiniteness property then so does any orbifold model of it. I have found necessary and sufficient conditions which make the conjecture true for commutative vertex algebras and Z_2-permutation orbifold models of vertex operator algebras. I also showed that Z_2-permutation orbifold models of the Virasoro vertex operator algebras having C_2-cofinittness property satisfy the C_2-cofiniteness condition.
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Report
(4 results)
Research Products
(15 results)