2012 Fiscal Year Final Research Report
Research on variants of the polynomial invariant of Hopf algebras
Project/Area Number |
22540058
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Kansai University |
Principal Investigator |
WAKUI Michihisa 関西大学, システム理工学部, 准教授 (60252574)
|
Project Period (FY) |
2010 – 2012
|
Keywords | 代数学 / トポロジー / 環論 / 表現論 / ホップ代数 / 結び目 |
Research Abstract |
Various variants of our polynomial invariant of Hopf algebras are introduced, and examined those properties. Computational results are obtained for several Hopf algebras. It is also showed that the Schodinger representation of the Drinfel'd double of a Hopf algebra is a tensor Morita invariant of the Hopf algebra, and it is a useful invariant.
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