群交叉积构造的一类新的Hopf群余代数
On constructing new Hopf group coalgebras by group crossed products
摘要
探讨了群交叉积C#πσH和群Smash余积C×πH构成半Hopf群余代数乃至Hopf群余代数的条件,这是著名的Radford双积在Hopf群余代数系统中的实现.
The group crossed product C#σπH and the group Smash coproduct C×πH form a semi-Hopf group coalgebra and even a Hopf group coalgebra was discussed. It was famous Radford biproduct construction in the setting of Hopf group coalgebras.
出处
《浙江师范大学学报(自然科学版)》
CAS
2012年第4期368-374,共7页
Journal of Zhejiang Normal University:Natural Sciences
基金
浙江省教育厅科研项目(Y201121955)
参考文献16
-
1Radford D E. The structure of Hopf algebras with a projection [ J ]. J Algebra, 1985,92 (2) :322-347.
-
2Andruskiewitsch N, Schneider H J. On the classification of finite-dimensional pointed Hopf algebras[ J]. Ann Math ,2010,171 (2) :375-417.
-
3Bulacu D, Nauwelaerts E. Radford's biproduct for quasi-Hopf algebras and bosonization [ J ]. J Pure and Applied Algebra, 2002,174 ( 1 ) : 1-42.
-
4Alonso/flvarez J N, Femmdez Vilaboa J M, Gonzilez Rodrlguez R, et al. Weak Hopf algebras with projection and weak smash bialgebra struc- tures[J]. J Algebra,2003,269(2) :701-725.
-
5Delvaux L. Multiplier Hopf algebras in categories and the Biproduet construction [ J ]. Algebra Represent Theory,2007,10 (6) :533-554.
-
6Turaev V G. Homotopy field theory in dimension 3 and crossed group-categories [ EB/OL]. (2000-05-31 ) [ 2011-09-15 ]. http ://arXiv: math/ 0005291vl.
-
7Caenepeel S, de Lombaerde M. A categorical approach to Turaev's Hopf group-eoalgebras [ J ]. Comm Algebra ,2006,34 (7) :2631-2657.
-
8Virelizier A. Hopf group-eoalgebras J ]. J Pure and Applied Algebra,2002,171 ( 1 ) :75 -122.
-
9Virelizier A. Graded quantum groups and quasitriangular Hopf group-coalgebras[ J ]. Comm Algebra,2005,33 (9) :3029-3050.
-
10Wang Shuanhong. Group entwining structures and group coalgebra Galois extensions[ J]. Comm Algebra ,2004,32 (9) :3417-3436.
-
1郑乃峰.弱Hopf代数与双积[J].宁波大学学报(理工版),2004,17(1):74-78. 被引量:2
-
2陈利艳,姚艳红.Turaev群代数的群扭曲张量双积[J].安阳师范学院学报,2014(2):7-9.
-
3宋红伟,叶亚盛.涉及分担值的亚纯函数的正规性[J].吉林大学学报(理学版),2008,46(6):1049-1052.
-
4赵克玉,孙四周.数列中的最值问题[J].新高考(高一语文、数学、英语),2009(4):32-34.
-
5刘崇林.再谈用好均值不等式[J].数学教学通讯(中教版),2005,28(10S):47-48. 被引量:1
-
6李章保.浅谈“双积一口清”[J].黑龙江珠算,1990(2):14-18.
-
7董井成,戴丽.pq^3维半单Hopf代数的结构[J].吉林大学学报(理学版),2013,51(6):1013-1018.
-
8陈媛.例说含复数的不等式[J].数学之友,2011,25(4):68-68.
-
9殷维莹,郭继东.弱c#-正规子群与有限群的p-幂零性[J].兰州文理学院学报(自然科学版),2014,28(1):27-29.
-
10梁斌.经典力学中不确定性的探讨[J].陕西师范大学学报(自然科学版),2004,32(S1):265-266.