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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
电子邮箱：fclei@dlut.edu.cn
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MODULE STRUCTURE ON LIE POWERS AND NATURAL COALGEBRA-SPLIT SUB-HOPF ALGEBRAS OF TENSOR ALGEBRAS
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论文类型：期刊论文
发表时间：2011-06-01
发表刊物：PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
收录刊物：SCIE
卷号：54
页面范围：467-504
ISSN号：0013-0915
关键字：tensor algebras; Lie powers; coalgebras; sub-Hopf algebras; T(n)-projective functors; natural coalgebra decompositions
摘要：We investigate the functors from modules to modules that occur as the summands of tensor powers and the functors from modules to Hopf algebras that occur as natural coalgebra summands of tensor algebras. The main results provide some explicit natural coalgebra summands of tensor algebras. As a consequence, we obtain some decompositions of Lie powers over the general linear groups.