2013 Fiscal Year Final Research Report
Dynamical Yang-Baxter maps and Hopf algebroids
| Project/Area Number |
22540001
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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 | Hokkaido University |
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Principal Investigator |
SHIBUKAWA Youichi 北海道大学, 理学(系)研究科(研究院), 准教授 (90241299)
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| Project Period (FY) |
2010-10-20 – 2014-03-31
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| Keywords | ダイナミカル・ヤン・バクスター写像 / ホップ亜代数 / リジッドなテンソル圏 |
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| Research Abstract |
The main result of this research is to construct algebras, such as Hopf algebroids and face algebras, from dynamical Yang-Baxter maps, solutions to a version of the quantum dynamical Yang-Baxter equation. By making use of these Hopf algebroids, we provided with rigid tensor categories, which are tensor categories with "duals". In addition, we established a method to produce the dynamical Yang-Baxter map.
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