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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:

2011年01期

Page:

19-22

Research Field:

数学

Publishing date:

Info

Title:

Maschke-Type Theorems for Generalized Smash Product and Generalized Smash Coproduct

Author(s):

Pan Qunxing¹; ²; Li Qiang¹; Zhang Liangyun¹

1.School of Science,Nanjing Agricultural University,Nanjing 210095,China 2. Department ofM athem atics, Nan jing Univers ity, Nan jing 210093, China

Keywords:

H opf a lgebra;  generalized sm ash product;  g eneralized sm ash coproduct;  M aschke- type theorem

PACS:

O153

DOI:

-

Abstract:

Using the integra lm ap, th is pape r g ives aM aschke-type theorem for generalized sm ash products: assum eH is a finite sem isim pleH opf algebra and there ex ists an integ ralφ:H→B wh ich is a su rjective algeb ram ap. IfA is sem isimple, thenA#B is also sem is imple. Dually, this paper g ives aM aschke- type theorem for gene ra lized smash coproducts.

References:

[ 1] CohenM, Fishm an D. H opf a lgebra actions[ J]. Journal o fA lgebra, 1986, 100: 363-379.
[ 2] Kassel C. Quantum Groups[M ]. New York, Ber lin: Springer-Ver lag, 1995.
[ 3] 潘群星, 张良云. 广义Sm ash积与Sm ash余积之间的新对偶[ J]. 南京师大学报: 自然科学版, 2007, 30( 3): 10-14.
[ 4] Sw eed le rM E. H opf A lgebras[M ]. New Yo rk: Ben jam in, 1969.
[ 5] Do iY. On the struc ture of re lative Hopf m odules[ J]. Comm un ication in A lgebra, 1983, 11( 3): 243-255.
[ 6] M on tgom ery S. H opfA lgebras and Their Actions on R ings[M ]. New York: CBMS, 1993.

Memo

Memo:

-

Common functions

Last Update: 2013-04-11