| 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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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | ダイアグラム代数 / Murphy元 / Motzkin代数 / Khovanov代数 / cell表現 / Diagram代数 / Cell表現 / Murphy作用素 / Party代数 / Partition代数 / Cell代数 / Seminormal Form |
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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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Report
(5 results)
Research Products
(8 results)
