| 五边方程的集合理论解 |
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| 引用本文： | 蒋立宁,刘明.五边方程的集合理论解[J].数学进展,2005,34(3):331-337. |
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| 作者姓名： | 蒋立宁 刘明 |
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| 作者单位： | 北京理工大学数学系,北京,100081 |
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| 基金项目： | The project is supported by NSFC(No．10301004)． |
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| 摘 要： | 本文给出五边方程的集合理论解.假设V作用在有限群的张量积G(?)G上,满足五边方程V12V13V23=V23V12,则在给定条件下,V由三元组(a,d,p)惟一确定,其中a,d,p是G到自身的群同态。由此给出了V的分类.
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| 关 键 词： | 五边方程 乘法算子 余卷积 Hopf代数 |
On Set-theoretical Solution of the Pentagon Equation |
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| JIANG Li-ning,LIU Ming.On Set-theoretical Solution of the Pentagon Equation[J].Advances in Mathematics,2005,34(3):331-337. |
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| Authors: | JIANG Li-ning LIU Ming |
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| Abstract: | This paper gives a set-theoretical solution of the pentagon equation. Suppose that there is a map V acting on a finite group G (?) G satisfying the pentagon equation V12V13V23 = V23V12. Then under the given conditions, V is determined uniquely by a triple (a,d,p) where a, d,p are group endomorphisms of G and therefore we give a classfication of V. |
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| Keywords: | pentagon equation multiplicative operator convolution Hopf algebra |
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