On the structure of graded <Emphasis Type="Italic">λ</Emphasis>-Hopf algebras |
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基金项目: | Supported by the National Natural Science Foundation of China, Yangzhou University Natural Science Foundation |
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摘 要: | Let G be an abelian group, B the G-graded λ-Hopf algebra with A being a bicharacter on G. By introducing some new twisted algebras (coalgebras), we investigate the basic properties of the graded antipode and the structure for B. We also prove that a G-graded λ-Hopf algebra can be embedded in a usual Hopf algebra. As an application, it is given that if G is a finite abelian group then the graded antipode of a finite dimensional G-graded A-Hopf algebra is invertible.
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关 键 词: | 代数 代数簇 簇 几何 |
收稿时间: | 1 May 2004 |
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