2011 Fiscal Year Final Research Report
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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| Keywords | 環論(含むリー環) |
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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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