A construction of the Hom-Yetter-Drinfeld category
Haiying Li ; Tianshui Ma
Colloquium Mathematicae, Tome 135 (2014), p. 43-65 / Harvested from The Polish Digital Mathematics Library
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In continuation of our recent work about smash product Hom-Hopf algebras [Colloq. Math. 134 (2014)], we introduce the Hom-Yetter-Drinfeld category HH via the Radford biproduct Hom-Hopf algebra, and prove that Hom-Yetter-Drinfeld modules can provide solutions of the Hom-Yang-Baxter equation and HH is a pre-braided tensor category, where (H,β,S) is a Hom-Hopf algebra. Furthermore, we show that (A♮⋄H,α⊗β) is a Radford biproduct Hom-Hopf algebra if and only if (A,α) is a Hom-Hopf algebra in the category HH. Finally, some examples and applications are given.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:283988 
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     title = {A construction of the Hom-Yetter-Drinfeld category},
     journal = {Colloquium Mathematicae},
     volume = {135},
     year = {2014},
     pages = {43-65},
     zbl = {1306.16031},
     language = {en},
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Haiying Li; Tianshui Ma. A construction of the Hom-Yetter-Drinfeld category. Colloquium Mathematicae, Tome 135 (2014) pp. 43-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-1-4/