[1]李彦超,王勇,张良云,等.弱Hopf代数上的β-特征代数[J].南京师范大学学报(自然科学版),2009,32(04):36-41.
 Li Yanchao,Wang Yong,Zhang Liangyun.β-Character Algebras Over Weak Hopf Algebras[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(04):36-41.
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弱Hopf代数上的β-特征代数()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年04期
页码:
36-41
栏目:
数学
出版日期:
2009-12-30

文章信息/Info

Title:
β-Character Algebras Over Weak Hopf Algebras
作者:
李彦超;王勇;张良云;
南京农业大学理学院, 江苏南京210095
Author(s):
Li YanchaoWang YongZhang Liangyun
College of Science,Nanjing Agricultural University,Nanjing 210095,China
关键词:
弱H opf代数 B-特征代数 群像元素
Keywords:
w eak H opf algebra β-cha racter a lg ebra group- like e lem ent
分类号:
O153.3
摘要:
考虑了弱Hopf代数上的β-特征代数.当H是有限维弱Hopf代数时,给出了g∈Cβ(H)(Cβ(H)是H*的β-特征)的一个充要条件,并研究了弱Hopf代数上的β-广义特征代数.
Abstract:
The paper is concerned w ith the B-character a lgebras in the case o f w eak H opf a lgebras. W e present a suff-i c ient and necessary condition that any elem ent gI H* is in the β-charac ter a lgebra Cβ(H ), whereH is a finite dim enina lw eak H opf a lgebra. Furtherm ore, w e investig ate theβ-genera lized character a lgebras overw eak H opf algebras

参考文献/References:

[ 1] BÊ hm G, N ill F, Szlach?ny i K. W eak H opf algebras I. Integ ra l theory and C* - structure [ J]. Journa l o f A lgebra, 1999,221: 385-438.
[ 2] H ayash iT. Quantum group symm etry of partition functions of IRF m odels and its app lications to Jones s’ index theory[ J].Comm un ications inM a them a tica l Phy sics, 1993, 157: 331-345.
[ 3] N ikshych D, Va inermun L. F inite quantum g roupo ids and the ir app lications[ J]. M athem atical Sc iences Research Institute Publica tions, 2002, 43: 211-262.
[ 4] Yam anouch iT. Dua lity for generalized Kac a lg ebras and a character ization o f finite g roupo id a lgebras[ J] . Journal o f A lgebra,1994, 163: 9-50.
[ 5] N ikshych D. A dua lity theorem fo r quantum groupo ids[ J] . ContemporaryM a them atics, 2000, 267: 237-243.
[ 6] Zhang L Y, Zhu S L. Fundam enta l theorem s of w eak Do-iH opf modu les and sem isimp le w eak smash productH opf algeb ras[ J]. Communications in A lgebra, 2004, 32( 9) : 3 403-3 415.
[ 7] Do iY. On the struc ture of re lative Hopf m odules[ J]. Comm un ications in A lgebra, 1983, 11( 3): 243-255.
[ 8] 张良云. 弱H opf代数上的M aschke定理和M or ita关系[ J]. 中国科学, 2006, 49( 5) : 587-598.
[ 9] CohenM, Fishm an D. H opf a lgebra actions[ J]. Journal o fA lgebra, 1986, 100: 363-379.
[ 10] Hu J, Zhang Y H. The B-character a lgebras and a comm uting pa ir in H opf a lgebras[ J]. A lgebra Represen tation Theory,2007, 10: 497-516.
[ 11] M ontgom ery S. H opf a lgebras and their actions on r ing s[M ] . New Yo rk: CBMS, Lect Notes, 1993.
[ 12] Zhang L Y, Chen H X, L i J Q. Tw isted products and sm ash products overw eak H opf a lgebras[ J]. ActaM athem atica Sc-ientia( Eng lish Series), 2004, 24( 2) : 247-258.
[ 13] N ikshych D. Sem isimp lew eak H opf a lg ebras[ J]. Journa l o f A lgebra, 2004, 275: 639-667.

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10871170 )、教育部科学技术重点研究( 108154)资助项目.
通讯联系人: 张良云, 教授, 博士生导师, 研究方向: H op f代数与量子群. E-m ail:zlyun@ n jau. edu. cn
更新日期/Last Update: 2013-04-23