The Factorization of Braided Hopf Algebras
The Factorization of Braided Hopf Algebras
摘要
We obtain the double factorization of braided bialgebras or braided Hopf algebras and give the relations among integrals and semisimplicity of braided Hopf algebra and its factors.
We obtain the double factorization of braided bialgebras or braided Hopf algebras and give the relations among integrals and semisimplicity of braided Hopf algebra and its factors.
基金
the Foundation of Hunan University (No.521101365)
参考文献17
-
1MAJID S. Foundations of Quantum Group Theory [M]. Cambridge University Press, Cambridge, 1995.
-
2ZHANG Shouchuan, YANG Binzhong, REN Beishang. An example of double cross coproducts with nontrivial left coaction and right coaction in strictly braided tensor categories [J]. Southeast Asian Bull. Math., 2005, 29(6): 1175-1195.
-
3HUANG Yizhi. Vertex operator algebras, the Verlinde conjecture, and modular tensor categories [J]. Proe. Natl. Acad. Sci. USA, 2005, 102(15): 5352-5356.
-
4HUANG Yizhi, KONG Liang. Open-string vertex algebras, Sensor categories and operads [J]. Comm. Math. Phys., 2004, 250(3): 433-471.
-
5BAKALOV B, KIRILLOV A JR. Lectures on Tensor Categories and Modular Functors [M]. American Mathematical Society, Providence, RI, 2001.
-
6HENNINGS M A. Hopf algebras and regular isotopy invariants for link diagrams [J]. Math. Proc. Cambridge Philos. Soc., 1991, 109(1): 59-77.
-
7KAUFFMAN L H. Invariants of Links and Three-Manifolds Via Hopf Algebras [M]. Lecture Notes in Pure and Appl. Math., 184, Dekker, New York, 1997.
-
8RADFORD D E. The trace function and Hopf algebras [J]. J. Algebra, 1994, 163(3): 583-622.
-
9ZHANG Shouchuan, CHEN Huixiang. Double bicrossproducts in braided tensor categories [J]. Comm. Algebra, 2001, 29(1): 31-66.
-
10BESPALOV Y, DRABANT B. Cross product bialgebras. Ⅰ [J]. J. Algebra, 1999, 219(2): 466-505.
-
1乐茂华.形如(p^p-1)/(p-1)的素数[J].五邑大学学报（自然科学版）,2006,20(2):18-19.
-
2张运权.自然数的素数判别及合数的因数分解[J].湖北第二师范学院学报,1999,0(2):8-9.
-
3首个可进行因式分解的量子处理器研制成功[J].硅谷,2012(16).
-
4LU Zhong-jian FANG Xiao-li.Generalized braided Hopf algebras[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(1):105-113.
-
5Liu Jun\ Xu Zhong.FAST TRIANGULAR FACTORIZATION OF CAUCHY TYPE MATRICES AND THEIR INVERSES[J].Applied Mathematics(A Journal of Chinese Universities),1999,14(4):371-374.
-
6李建湘.On the Factorizations of (mg, mf)-graph[J].Northeastern Mathematical Journal,2004,20(4):435-440.
-
7WANG Jian.On K_(1,k)-factorization of bipartite multigraphs[J].Applied Mathematics(A Journal of Chinese Universities),2008,23(3):345-350.
-
8ALONSO LVAREZ Jos Nicanor,FERNNDEZ VILABOA Jos Manuel,GONZLEZ RODRíIGUEZ Ramón,SONEIRA CALVO Carlos.Projections of weak braided Hopf algebras[J].Science China Mathematics,2011,54(5):877-906. 被引量：1
-
9DUBE1LIANG.KI,k-FACTORIZATION OF BIPARTITE GRAPHS[J].Applied Mathematics(A Journal of Chinese Universities),1997,12(4):493-498.
-
10颜卿山.浅析初中数学中的不定方程、方程组[J].新课程研究（上旬）,2008(2):64-65.
