COALGEBRA

作品数：39被引量：32H指数：4
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相关作者：王栓宏董丽红赵晓凡王圣祥郭广泉更多>>
相关机构：东南大学河南师范大学南京晓庄学院更多>>
相关期刊：《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Journal of Mathematical Study》更多>>
相关基金：国家自然科学基金北京市自然科学基金国家教育部博士点基金更多>>
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Dual Lie Bialgebra Structures of W-algebra W(2, 2) Type
《Acta Mathematica Sinica,English Series》2019年第10期1696-1714,共19页Guang Ai SONG Yu Cai SU Xiao Qing YUE 
Supported by NSF grant of China and NSF grant of Shandong Province(Grant Nos.11431010,11671056,ZR2013AL013 and ZR2014AL001)
In the present paper, we investigate the dual Lie coalgebras of the centerless W(2,2) algebra by studying the maximal good subspaces. Based on this, we construct the dual Lie bialgebra structures of the centerless W(2...
关键词：W(2 2) ALGEBRA LIE BIALGEBRA LIE COALGEBRA DUAL LIE BIALGEBRA maximal good subspace 
On Corepresentations of Multiplier Hopf Algebras
《Acta Mathematica Sinica,English Series》2010年第6期1087-1114,共28页Shuan-hong WANG Hai-xing ZHU 
Supported by National Natural Science Foundation of China (Grant No. 10871042); the Research Fund for the Doctoral Program of Higher Education (Grant No. 20060286006); Natural Science Foundation of Jiangsu Province (Grant No. BK2009258);the Key Project of Chinese Ministry of Education of China (Grant No.108154)
We present a general construction producing a unitary corepresentation of a multiplier Hopf algebra in itself and study RR-corepresentations of twisted tensor coproduct multiplier Hopf algebra. Then we investigate som...
关键词：（group-cograded） multiplier Hopf algebra copresentation crossed module covariant module Hopf group-coalgebra twisted tensor coproduct 
On the Structure of Graded λ-Hopf Algebras被引量：8
《Acta Mathematica Sinica,English Series》2009年第1期95-108,共14页Jian Hua SUN Pu ZHANG 
Supported by the National Natural Science Foundation of China;Yangzhou University Natural Science Foundation
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 st...
关键词：twisted algebra （coalgebra） graded Hopf algebra graded antipode 
The Quotient Category of a Graded Morita-Takeuchi Context
《Acta Mathematica Sinica,English Series》2006年第1期123-130,共8页F. CASTANO IGLESIAS C. NASTASESCU 
In this paper, we offer a graded equivalence between the quotient categories defined by any graded Morita-Takeuchi context via certain modifications of the graded cotensor functors. As a consequence, we show a commuta...
关键词：Graded coalgebra Graded Morita context Quotient category 
Cosemisimple Coextensions and Homological Dimension of Smash Coproducts被引量：2
《Acta Mathematica Sinica,English Series》2005年第3期563-568,共6页Jia Gui ZHU 
Supported by the Foundation of Key Research Program (No. 02021029);the NSF (No. 2004kj352) of Anhui Province, China
Let H be a finite dimensional cosemisimple Hopf algebra, C a left H-comodule coalgebra and let C = C/C（H^＊）^＋ be the quotient coalgebra and the smash coproduct of C and H. It is shown that if C/C is a eosemisimple...
关键词：COALGEBRA Homological dimension Smash coproduct Hopf algebra 
Twisted Product and Cohomology被引量：1
《Acta Mathematica Sinica,English Series》1997年第1期76-80,共5页Zheng Qibing (Department of Mathematics,Nankai University,Tianjin 300071,China) 
Supported by National Natural Science Foundation of China
Let H be a Hopf algebra,H1 be a sub-Hopf algebra of H,H2 be the quotient Hopt algebra of H modular H1.This paper gives a simplified complex by defining a new base for the cobar complex...
关键词：DGA Twisted product Hopf algebra The cohomology algebra of a coalgebra 
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