The fundamental theorem and Maschke’s theorem in the category of relative Hom-Hopf modules
Colloquium Mathematicum, Tome 144 (2016) no. 1, pp. 55-71
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We introduce the concept of relative Hom-Hopf modules and investigate their structure in a monoidal category $\widetilde{\mathcal{H}}(\mathcal{M}_{k})$. More particularly, the fundamental theorem for relative Hom-Hopf modules is proved under the assumption that the Hom-comodule algebra is cleft. Moreover, Maschke’s theorem for relative Hom-Hopf modules is established when there is a multiplicative total Hom-integral.
Keywords:
introduce concept relative hom hopf modules investigate their structure monoidal category widetilde mathcal mathcal particularly fundamental theorem relative hom hopf modules proved under assumption hom comodule algebra cleft moreover maschke theorem relative hom hopf modules established there multiplicative total hom integral
Affiliations des auteurs :
Yuanyuan Chen 1 ; Zhongwei Wang 2 ; Liangyun Zhang 1
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author = {Yuanyuan Chen and Zhongwei Wang and Liangyun Zhang},
title = {The fundamental theorem and {Maschke{\textquoteright}s} theorem in the category of relative {Hom-Hopf} modules},
journal = {Colloquium Mathematicum},
pages = {55--71},
year = {2016},
volume = {144},
number = {1},
doi = {10.4064/cm6514-11-2015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6514-11-2015/}
}
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Yuanyuan Chen; Zhongwei Wang; Liangyun Zhang. The fundamental theorem and Maschke’s theorem in the category of relative Hom-Hopf modules. Colloquium Mathematicum, Tome 144 (2016) no. 1, pp. 55-71. doi: 10.4064/cm6514-11-2015
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