高维矩阵和Hopf代数的结构常数

Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (3): 662-669.

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Higher Dimensional Matrices and Structure Constants for Hopf Algebras

CHENG Dong-Ming

Department of Mathematics, |Henan University of Science and Technology, |Henan Luoyang 471003|Department of Mathematics, Zhejiang University, |Hangzhou 310027

Received:2008-07-31 Revised:2010-01-29 Online:2011-06-25 Published:2011-06-25
Supported by:
国家自然科学基金(10571153)、河南科技大学科研基金(2006zy007)和河南科技大学博士科研启动金(09001213)资助

The concept of structure constants for Hopf algebras is introduced and studied in this paper. Higher dimensional matrices are introduced to describe the structure constants for Hopf algebras. The condition for a pre-coalgebra to be a coalgebra and the condition for a pre-bialgebra to be a bialgebra and a Hopf algebra are determined in form of higher dimensional matrices.

Key words: Higher dimensional matrices, Structure constant, Hopf algebra

CLC Number:

16W30

Cite this article

CHENG Dong-Ming. Higher Dimensional Matrices and Structure Constants for Hopf Algebras[J].Acta mathematica scientia,Series A, 2011, 31(3): 662-669.

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