Killing根非退化下Hopf代数的伴随表示 |
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引用本文: | 唐帅,王志华.Killing根非退化下Hopf代数的伴随表示[J].河北工程大学学报,2009,26(4):109-112. |
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作者姓名: | 唐帅 王志华 |
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作者单位: | 唐帅(泰州师范高等专科学校,数理系,江苏,泰州,225300);王志华(南京师范大学泰州学院,数学系,江苏,泰州,225300) |
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基金项目: | 国家自然科学基金资助项目 |
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摘 要: | 在Hopf代数的Killing型非退化的情形下,讨论了有限维Hopf代数的伴随表示.通过给定的基完全刻划了所有伴随单模的模作用,得到了Hopf代数上的正则单模与伴随单模之间的一一对应.
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关 键 词: | Hopf代数 伴随表示 Killing型 |
收稿时间: | 2009/10/15 0:00:00 |
The adjoint representations of Hopf algebras with non-degenerate Killing form |
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Authors: | TANG Shuai and WANG Zhi-hua |
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Affiliation: | Department of Mathematics and Physics,Taizhou Teachers College,Taizhou 225300,China;Department of Mathematics,Taizhou College,Nanjing Normal University,Taizhou 225300,China |
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Abstract: | In this paper,restriction to the Hopf algebras with non-degenerate Killing form and the adjoint representations of finite dimensional Hopf algebras are discussed.Based on given bases,the adjoint actions of Hopf algebras on all simple modules are explicitly described,and the one to one correspondence between the regular modules and the adjoint modules of Hopf algebras are also investigated. |
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Keywords: | Hopf algebra adjoint representation Killing form |
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