弱模余代数的结构定理The structure theorem for weak module coalgebras
郑乃峰;
摘要(Abstract):
设H为弱Hopf代数,C为弱右H-模余代数,令C=C/C·ker L.利用Smash余积来研究弱模余代数上的结构定理,并给出了C与C■H作为余代数同构的条件.
关键词(KeyWords): 弱Hopf代数;Smash余积;模余代数
基金项目(Foundation): 国家自然科学基金(60873267);; 宁波市自然科学基金(2011A610172)
作者(Authors): 郑乃峰;
参考文献(References):
- [1]Bohm G,Nill F,Szlachanyi K.Weak Hopf algebras I:Integral theory and C-structure[J].J.Algebra,1999,221:385-438.
- [2]Sweedler M.Hopf Algebra[M].New York:Benjamin,1969.
- [3]Hayashi T.Quantum group symmetry of partition functions of IRF models and its applications to Jones′sindex theory[J].Comm.Math.Phys.,1993,157:331-345.
- [4]Nikshych D,Vainerman L.Finite quantum groupoid and their applications[J].Math.Sci.Res.Inst.Publ.,2002,43:211-262.
- [5]Yamanouchi T.Duality for generalized Kac algebras and a characterization of finite groupoid algebras[J].J.Algebra,1994,163:9-50.
- [6]郑乃峰.(ω,σ)-Smash积和(ν,α)-Smash余积[J].纯粹数学与应用数学,2012,28(2):167-175.
- [7]郑乃峰.弱Hopf代数上的Smash双积[J].数学进展,2009,38(5):553-565.
- [8]郑乃峰.弱Hopf代数上的混合积[J].数学年刊,2010,31(6):757-768.
- [9]郑乃峰.弱Hopf代数上的ω-交叉积[J].数学年刊,2012,33(1):77-90.
- [10]李金其.[C,H]-Hopf模与模余代数的结构定理[J].数学年刊:A辑,1995,16(3):312-319.