2011 Fiscal Year Final Research Report
Research on modules over fixed point vertex subalgebras
| Project/Area Number |
20740002
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Hokkaido University |
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Principal Investigator |
TANABE Kenichiro 北海道大学, 大学院・理学研究院, 准教授 (10334038)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 頂点代数 |
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| Research Abstract |
(1)I investigated the finite-dimensional modules over vertex algebras constructed from commutative algebras. I showed that every finite-dimensional module over a fixed point differential subfield has a structure of twisted module over the original differential field.
(2)I generalized a notion of a twisted module over a vertex algebra. Moreover I constructed a corresponding Zhu algebra. Namely, I established a correspondence between the simple generalized twisted modules over a vertex algebra and the simple modules over the Zhu algebra. This correspondence is a natural generalization of the results by Zhu.
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