| 图中的几例组合Hopf代数 |
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| 引用本文： | 赵燕 高凤霞 李本星. 图中的几例组合Hopf代数[J]. 曲阜师范大学学报, 2005, 31(4): 51-56 |
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| 作者姓名： | 赵燕 高凤霞 李本星 |
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| 作者单位： | 曲阜师范大学数学科学学院,273165,曲阜市;济南大学理学院,250022,山东省 曲阜市;曲阜师范大学数学科学学院,273165,曲阜市 |
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| 摘 要： | 介绍了图中的3例分次连通的Hopf代数,将其赋予特征后构成组合Hopf代数,讨论了它们在组合Hopf代数范畴中与终对象（Qfym,ζQ）之间的组合Hopf代数同态,并计算了它们的Hilbert级数.
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| 关 键 词： | 组合Hopf代数 特征 完全图 图的遗传族 |
| 文章编号： | 1001-5337（2005）04-0051-06 |
| 收稿时间： | 2004-10-12 |
| 修稿时间： | 2004-10-12 |
Some Examples of Combinatorial Hopf Algebra |
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| ZHAO Yan , GAO Feng-xia , LI Ben-xing. Some Examples of Combinatorial Hopf Algebra[J]. Journal of Qufu Normal University(Natural Science), 2005, 31(4): 51-56 |
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| Authors: | ZHAO Yan GAO Feng-xia LI Ben-xing |
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| Affiliation: | 1 School of Mathematical Seience, Qufu Normal University, 273165, Qufu; 2 College of Seience, Jinan University, 250022, Jinan, Shandong, PRC |
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| Abstract: | The authors introduce three graded connected Hopf algebras arising from families of graphs, which become combinatorial Hopf algebras after being equiped with zeta characters. We calculate morphisms of combinatorial Hopf algebras from them to the Hopf algebras of quasi-symmetric fimctions, which is the terminal object in the category of combinatorial Hopf algebras. We also calculate their corresponding Hilbert series. |
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| Keywords: | combinatorial Hopf algebra character complete graph hereditary families of graphs |
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