[1]潘群星,张良云.广义Smash积与Smash余积之间的新对偶(英文)[J].南京师范大学学报(自然科学版),2007,30(03):10-14.
 Pan Qunxing,Zhang Liangyun.New Duality Between Generalized Smash Products and Smash Coproducts[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(03):10-14.
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广义Smash积与Smash余积之间的新对偶(英文)()
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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30卷
期数:
2007年03期
页码:
10-14
栏目:
数学
出版日期:
2007-09-30

文章信息/Info

Title:
New Duality Between Generalized Smash Products and Smash Coproducts
作者:
潘群星;张良云;
南京农业大学理学院, 江苏南京210095
Author(s):
Pan QunxingZhang Liangyun
College of Science,Nanjing Agricultural University,Nanjing 210095,China
关键词:
Hopf代数 广义Smash积 广义Smash余积 重模代数
Keywords:
H opf algebra gen era lized sm ash p roduct generalized sm ash coprodu ct d imodu le algebra
分类号:
O153.3
摘要:
主要证明余代数H(A#B)0和余代数HA0×HB0同构,其中H(A#B)0是广义Sm ash积A#B的新对偶,HA0×HB0是广义Sm ash余积.
Abstract:
Th is paperm ain ly p roves thatH (A#B ) 0 is isom orph ic toH A 0 ×H B 0 as coa lgeb ras, wh ereH (A# B ) 0 den otes th e n ew dual ity of th e gen eral ized sm ash p roductA# B, and H A0 ×H B0 d enotes th e general ized sm ash coproduct

参考文献/References:

[ 1]  M o lnar R K. Sem i-direct products ofH opf a lg ebra[ J]. J A lg, 1977, 47( 2): 29- 51.
[ 2]  Zhang L Y, Chen H X. The new dualities of sm ash product a lgebras and H opf a lgebras in the ca tego ry o f Yetter-Drinfel D modules[ J]. Ch in AnnM a th, 2003, 24A: 473- 482.
[ 3]  Kan H B. The g eneralized sm ash product and coproduct[ J]. Chin AnnM ath, 2000, 21B ( 3) : 381-388.
[ 4]  Zhang L Y, Tong W T. Quantum Y ang-Baxte rH - m odule a lgebras and the ir bra ided products [ J]. Comm A lg, 2003, 31( 5): 2 471- 2 495.
[ 5]  SweedlerM E. H opf A lgebras[M ]. New York: Benjam in, 1969.
[ 6]  Zhang L Y. Long bia lgebras, d imodu le a lgebras and quan tum Y ang- Bax ter modu les over Long bia lgebras[ J] . A ctaM a th S in ica, 2006, 22B ( 4) : 1 261- 1 270.
[ 7]  M ontgom ery S. H opf A lgebras and The irAc tions on R ings[M ]. N ew York: CBM S, 1993

备注/Memo

备注/Memo:
Foundation item: Supported by th e N at ion alN atural S cien ce Foundation of Ch ina ( 10571153 ) and Postdoctora l S cience Foundation of Ch ina( 2005037713 ) .
Biography: Pan Qunxing, born in 1978, assistant, m ajored inH op f algeb ra. E-mail:cfq1217@ sina. com
Corresponding author: Zh ang L iangyun, born in 1964, p rofessor, doctor, m ajored inH opf algebra. E-mail:z lyun8@ jlonl ine. com
更新日期/Last Update: 2013-05-05