| Hopf代数的余扭(英文) |
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| 引用本文： | 居腾霞.Hopf代数的余扭(英文)[J].黑龙江大学自然科学学报,2010,27(1). |
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| 作者姓名： | 居腾霞 |
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| 作者单位： | 南通大学理学院,南通,226007 |
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| 摘 要： | 给出了Hopf代数的余扭的定义,讨论了余扭的性质。由H的余扭σ诱导出一个新的Hopf代数Hσ。当H是有限维幺模Hopf代数时,描述了Hσ的左右积分元。当H是有限维半单Hopf代数时,证明了Hσ也是半单的。而且当H是有限维Hopf代数时,H的余扭实际上是对偶Hopf代数H*的扭。
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| 关 键 词： | Hopf代数 余扭 扭 余拟三角Hopf代数 |
The cotwists for Hopf algebras |
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| JU Teng-xia.The cotwists for Hopf algebras[J].Journal of Natural Science of Heilongjiang University,2010,27(1). |
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| Authors: | JU Teng-xia |
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| Abstract: | The definition of cotwists for Hopf algebras is given, and the properties of cotwists are discussed. A new Hopf algebra H_σ is induced by the cotwist σ. When H is finite dimensional unimodular, the left and fight integrals in H_σ are described. It is showed that if H is a finite dimensional semisimpie Hopf algebra, then H_σ is semisimple too. Moreover, if H is finite dimensional, then a cotwist for H is in fact a twist for the dual Hopf algebra H~*. |
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| Keywords: | Hopf algebras cotwists twists coquasitriangular Hopf algebras |
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