The category of Yetter-Drinfel'd Hom-modules and the quantum Hom-Yang-Baxter equation

Journal Article · Sat Mar 15 04:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4868964· OSTI ID:22251026

Chen, Yuanyuan; Zhang, Liangyun ^[1]

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1. College of Science, Nanjing Agricultural University, Nanjing, Jiangsu 210095 (China)

In this paper, we introduce the category of Yetter-Drinfel'd Hom-modules which is a braided monoidal category and show that the category of Yetter-Drinfel'd Hom-modules is a full monoidal subcategory of the left center of left Hom-module category. Also we study the equivalent relationship between the category of Yetter-Drinfel'd Hom-modules and the category of Hom-modules over the Drinfel'd double. Finally, the Faddeev-Reshetikhin-Takhtajan (FRT) type theorem for the quantum Hom-Yang-Baxter equation is investigated.

• OSTI ID: 22251026
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 55; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

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