Study on representations of conformal suepralgebras and applications to mathematical physics Study on representations of conformal suepralgebras and applications to mathematical physics
| Project/Area Number |
21740007
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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 | University of Fukui |
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Principal Investigator |
KOGA Yoshiyuki 福井大学, 大学院・工学研究科, 准教授 (20338429)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 環論(含むリー環) / アフィン超リー代数 / コンフォーマル超リー代数 / コンフォーマル超代数 |
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| Research Abstract |
In this research, we obtained the following results concerning conformal superalgebras:
1. The Virasoro algebra is contained in conformal superalgebras as a subalgebra, and it plays important roles in the representation theory of conformal superalgebras. We publish a book correcting basic results in the representation theory of the Virasoro algebra in collaboration with K. Iohara (Lyon Univ.).
2. A close relation between a conformal and a Kac-Moody superalgebras is known. We study the singular vector formula for some Kac-Moody superalgebras.
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Report
(4 results)
Research Products
(8 results)
