Dynamical Yang-Baxter Maps Associated with Homogeneous Pre-Systems

Dynamical Yang-Baxter Maps Associated with Homogeneous Pre-Systems
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与均质预系统相关的动态杨-巴克斯特图

DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
Y. Shibukawa
Y. Shibukawa
中科院分区:
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文献类型:
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作者:
N. Kamiya;Y. Shibukawa

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我们借助于齐次前系统,即编码在满足适当条件的约化齐次空间中的三元系统,构造了动态杨-巴克斯特映射,它是一类量子动力学杨-巴克斯特方程的集论解。此外,还给出了这些动态Yang-Baxter映射的特征刻画。
We construct dynamical Yang-Baxter maps, which are set-theoretical solutions to a version of the quantum dynamical Yang-Baxter equation, by means of homogeneous pre-systems, that is, ternary systems encoded in the reductive homogeneous space satisfying suitable conditions. Moreover, a characterization of these dynamical Yang- Baxter maps is presented.