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CLC number: O153.3
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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Rudiment of weak Doi-Hopf π-modules
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JIA Ling, LI Fang. Rudiment of weak Doi-Hopf π-modules[J]. Journal of Zhejiang University Science A, 2005, 6(100): 144-154.
@article{title="Rudiment of weak Doi-Hopf π-modules",
author="JIA Ling, LI Fang",
journal="Journal of Zhejiang University Science A",
volume="6",
number="100",
pages="144-154",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.AS0144"
}
%0 Journal Article
%T Rudiment of weak Doi-Hopf π-modules
%A JIA Ling
%A LI Fang
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 100
%P 144-154
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.AS0144
TY - JOUR
T1 - Rudiment of weak Doi-Hopf π-modules
A1 - JIA Ling
A1 - LI Fang
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 100
SP - 144
EP - 154
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.AS0144
Abstract: The notion of weak Doi-Hopf π-datum and weak Doi-Hopf π-module are given as generalizations of an ordinary weak Doi-Hopf datum and weak Doi-Hopf module introduced in (Böhm, 2000), also as a generalization of a Doi-Hopf π-module introduced in (Wang, 2004). Then we also show that the functor forgetting action or coaction has an adjoint. Furthermore we explain how the notion of weak Doi-Hopf π-datum is related to weak smash product. This paper presents our preliminary results on weak Doi-Hopf group modules.
[1] Böhm, G., 2000. Doi-Hopf modules over weak Hopf algebras. Comm. Algebra, 28(10):4687-4698.
[2] Böhm, G., Nill, F., Szlach
[3] Virelizier, A., 2002. Hopf group-coalgebras. Journal of Pure and Applied Algebra, 171(1):75-122.
[4] Wang, S.H., 2004. Group twisted smash product and Doi-Hopf modules for T-coalgebras. Comm. Algebra, 32:3417-3436.
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