2016 Fiscal Year Final Research Report
Study of solutions to the reflection equation associated with dynamical Yang-Baxter maps
| Project/Area Number |
26400031
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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 |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | ダイナミカル・ヤン・バクスター写像 / 反射方程式 / カンドル |
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| Outline of Final Research Achievements |
The main results of this research are: (1) to clarify what the reflection equation associated with dynamical Yang-Baxter maps is; and (2) to construct solutions to the reflection equation associated with the dynamical Yang-Baxter maps from dynamical braces. In addition, we produced dynamical Yang-Baxter maps by means of quandles, which play an important role in the study of links. We showed that these dynamical Yang-Baxter maps give birth to weak Hopf algebras.
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| Free Research Field |
量子群，ホップ代数，およびそれらの表現論．量子ヤン・バクスター方程式．
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