2013 Fiscal Year Final Research Report
| Project/Area Number |
22540026
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | University of the Ryukyus |
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Principal Investigator |
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| Project Period (FY) |
2010-10-20 – 2014-03-31
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| Keywords | ダイアグラム代数 / Murphy元 / Motzkin代数 / Khovanov代数 / cell表現 |
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| Research Abstract |
This research was intended to "Categorify" the q-walled Brauer algebra. We found that although this algebra is very complicated, the application of it would be very limited. So we have changed the research object slightly and began to study Khovanov's diagram algebra and Motzkin algebra. We have not yet succeeded the "Categorification" of Khovanov's algebra. However we have succeeded to define the defining relation go the Motzkin algebra. Khovanov algebra will become an important tool which binds topological objects and algebraic objects.
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